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Finding the Fourth Proportional to 16,176.64, 24,278 and 8,387.68

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Solution

The fourth proportional to 16,176.64, 24,278 and 8,387.68 is: 12,588.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,176.64 : 24,278 = 8,387.68 : x
  2. Step 2: Convert to fraction form
    16,176.64/24,278 = 8,387.68/x
  3. Step 3: Cross multiply
    16,176.64x = 24,278 × 8,387.68
  4. Step 4: Simplify right side
    16,176.64x = 203,636,095.04
  5. Step 5: Solve for x
    x = 203,636,095.04/16,176.64
  6. Step 6: Final answer
    x = 12,588.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.