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Finding the Fourth Proportional to 16,624.65, 24,897.33 and 9,589.86

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Solution

The fourth proportional to 16,624.65, 24,897.33 and 9,589.86 is: 14,361.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,624.65 : 24,897.33 = 9,589.86 : x
  2. Step 2: Convert to fraction form
    16,624.65/24,897.33 = 9,589.86/x
  3. Step 3: Cross multiply
    16,624.65x = 24,897.33 × 9,589.86
  4. Step 4: Simplify right side
    16,624.65x = 238,761,909.07
  5. Step 5: Solve for x
    x = 238,761,909.07/16,624.65
  6. Step 6: Final answer
    x = 14,361.92

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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.