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Finding the Fourth Proportional to 13,223.20, 19,834.22 and 4,458.08

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Solution

The fourth proportional to 13,223.20, 19,834.22 and 4,458.08 is: 6,686.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,223.20 : 19,834.22 = 4,458.08 : x
  2. Step 2: Convert to fraction form
    13,223.20/19,834.22 = 4,458.08/x
  3. Step 3: Cross multiply
    13,223.20x = 19,834.22 × 4,458.08
  4. Step 4: Simplify right side
    13,223.20x = 88,422,539.50
  5. Step 5: Solve for x
    x = 88,422,539.50/13,223.20
  6. Step 6: Final answer
    x = 6,686.92

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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.