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Finding the Fourth Proportional to 16,565.68, 22,788.84 and 14,540.32

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Solution

The fourth proportional to 16,565.68, 22,788.84 and 14,540.32 is: 20,002.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,565.68 : 22,788.84 = 14,540.32 : x
  2. Step 2: Convert to fraction form
    16,565.68/22,788.84 = 14,540.32/x
  3. Step 3: Cross multiply
    16,565.68x = 22,788.84 × 14,540.32
  4. Step 4: Simplify right side
    16,565.68x = 331,357,026.03
  5. Step 5: Solve for x
    x = 331,357,026.03/16,565.68
  6. Step 6: Final answer
    x = 20,002.62

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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.