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Finding the Fourth Proportional to 13,892,894.22, 20,837,449.53 and 3,656,896.80

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Solution

The fourth proportional to 13,892,894.22, 20,837,449.53 and 3,656,896.80 is: 5,484,847.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,892,894.22 : 20,837,449.53 = 3,656,896.80 : x
  2. Step 2: Convert to fraction form
    13,892,894.22/20,837,449.53 = 3,656,896.80/x
  3. Step 3: Cross multiply
    13,892,894.22x = 20,837,449.53 × 3,656,896.80
  4. Step 4: Simplify right side
    13,892,894.22x = 76,200,402,506,418.50
  5. Step 5: Solve for x
    x = 76,200,402,506,418.50/13,892,894.22
  6. Step 6: Final answer
    x = 5,484,847.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.