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Finding the Fourth Proportional to 29,534.14, 44,308.68 and 9,812.80

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Solution

The fourth proportional to 29,534.14, 44,308.68 and 9,812.80 is: 14,721.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,534.14 : 44,308.68 = 9,812.80 : x
  2. Step 2: Convert to fraction form
    29,534.14/44,308.68 = 9,812.80/x
  3. Step 3: Cross multiply
    29,534.14x = 44,308.68 × 9,812.80
  4. Step 4: Simplify right side
    29,534.14x = 434,792,215.10
  5. Step 5: Solve for x
    x = 434,792,215.10/29,534.14
  6. Step 6: Final answer
    x = 14,721.68

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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.