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Finding the Fourth Proportional to 22,783.92, 34,132.14 and 13,404.12

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Solution

The fourth proportional to 22,783.92, 34,132.14 and 13,404.12 is: 20,080.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,783.92 : 34,132.14 = 13,404.12 : x
  2. Step 2: Convert to fraction form
    22,783.92/34,132.14 = 13,404.12/x
  3. Step 3: Cross multiply
    22,783.92x = 34,132.14 × 13,404.12
  4. Step 4: Simplify right side
    22,783.92x = 457,511,300.42
  5. Step 5: Solve for x
    x = 457,511,300.42/22,783.92
  6. Step 6: Final answer
    x = 20,080.45

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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.