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Finding the Fourth Proportional to 16,425.59, 24,651.14 and 6,565.86

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Solution

The fourth proportional to 16,425.59, 24,651.14 and 6,565.86 is: 9,853.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,425.59 : 24,651.14 = 6,565.86 : x
  2. Step 2: Convert to fraction form
    16,425.59/24,651.14 = 6,565.86/x
  3. Step 3: Cross multiply
    16,425.59x = 24,651.14 × 6,565.86
  4. Step 4: Simplify right side
    16,425.59x = 161,855,901.25
  5. Step 5: Solve for x
    x = 161,855,901.25/16,425.59
  6. Step 6: Final answer
    x = 9,853.89

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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.