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Finding the Fourth Proportional to 13,400.60, 20,102.88 and 4,633.16

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Solution

The fourth proportional to 13,400.60, 20,102.88 and 4,633.16 is: 6,950.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400.60 : 20,102.88 = 4,633.16 : x
  2. Step 2: Convert to fraction form
    13,400.60/20,102.88 = 4,633.16/x
  3. Step 3: Cross multiply
    13,400.60x = 20,102.88 × 4,633.16
  4. Step 4: Simplify right side
    13,400.60x = 93,139,859.50
  5. Step 5: Solve for x
    x = 93,139,859.50/13,400.60
  6. Step 6: Final answer
    x = 6,950.42

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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.