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Finding the Fourth Proportional to 16,565.91, 22,853.42 and 9,847.71

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Solution

The fourth proportional to 16,565.91, 22,853.42 and 9,847.71 is: 13,585.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,565.91 : 22,853.42 = 9,847.71 : x
  2. Step 2: Convert to fraction form
    16,565.91/22,853.42 = 9,847.71/x
  3. Step 3: Cross multiply
    16,565.91x = 22,853.42 × 9,847.71
  4. Step 4: Simplify right side
    16,565.91x = 225,053,852.67
  5. Step 5: Solve for x
    x = 225,053,852.67/16,565.91
  6. Step 6: Final answer
    x = 13,585.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.