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Finding the Fourth Proportional to 19,414.49, 29,116.09 and 7,565.62

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Solution

The fourth proportional to 19,414.49, 29,116.09 and 7,565.62 is: 11,346.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,414.49 : 29,116.09 = 7,565.62 : x
  2. Step 2: Convert to fraction form
    19,414.49/29,116.09 = 7,565.62/x
  3. Step 3: Cross multiply
    19,414.49x = 29,116.09 × 7,565.62
  4. Step 4: Simplify right side
    19,414.49x = 220,281,125.29
  5. Step 5: Solve for x
    x = 220,281,125.29/19,414.49
  6. Step 6: Final answer
    x = 11,346.23

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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.