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Finding the Fourth Proportional to 19,834.20, 29,720.88 and 13,572

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Solution

The fourth proportional to 19,834.20, 29,720.88 and 13,572 is: 20,337.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,834.20 : 29,720.88 = 13,572 : x
  2. Step 2: Convert to fraction form
    19,834.20/29,720.88 = 13,572/x
  3. Step 3: Cross multiply
    19,834.20x = 29,720.88 × 13,572
  4. Step 4: Simplify right side
    19,834.20x = 403,371,783.36
  5. Step 5: Solve for x
    x = 403,371,783.36/19,834.20
  6. Step 6: Final answer
    x = 20,337.18

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