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Finding the Fourth Proportional to 16,592.65, 24,878.75 and 8,148.41

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Solution

The fourth proportional to 16,592.65, 24,878.75 and 8,148.41 is: 12,217.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,592.65 : 24,878.75 = 8,148.41 : x
  2. Step 2: Convert to fraction form
    16,592.65/24,878.75 = 8,148.41/x
  3. Step 3: Cross multiply
    16,592.65x = 24,878.75 × 8,148.41
  4. Step 4: Simplify right side
    16,592.65x = 202,722,337.86
  5. Step 5: Solve for x
    x = 202,722,337.86/16,592.65
  6. Step 6: Final answer
    x = 12,217.60

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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.