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Finding the Fourth Proportional to 14,565.97, 21,854.49 and 5,807.08

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Solution

The fourth proportional to 14,565.97, 21,854.49 and 5,807.08 is: 8,712.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,565.97 : 21,854.49 = 5,807.08 : x
  2. Step 2: Convert to fraction form
    14,565.97/21,854.49 = 5,807.08/x
  3. Step 3: Cross multiply
    14,565.97x = 21,854.49 × 5,807.08
  4. Step 4: Simplify right side
    14,565.97x = 126,910,771.79
  5. Step 5: Solve for x
    x = 126,910,771.79/14,565.97
  6. Step 6: Final answer
    x = 8,712.83

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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.