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Finding the Fourth Proportional to 19,565.78, 29,354.20 and 7,712.24

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Solution

The fourth proportional to 19,565.78, 29,354.20 and 7,712.24 is: 11,570.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,565.78 : 29,354.20 = 7,712.24 : x
  2. Step 2: Convert to fraction form
    19,565.78/29,354.20 = 7,712.24/x
  3. Step 3: Cross multiply
    19,565.78x = 29,354.20 × 7,712.24
  4. Step 4: Simplify right side
    19,565.78x = 226,386,635.41
  5. Step 5: Solve for x
    x = 226,386,635.41/19,565.78
  6. Step 6: Final answer
    x = 11,570.54

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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.