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Finding the Fourth Proportional to 16,478.47, 24,717.70 and 6,617.75

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Solution

The fourth proportional to 16,478.47, 24,717.70 and 6,617.75 is: 9,926.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,478.47 : 24,717.70 = 6,617.75 : x
  2. Step 2: Convert to fraction form
    16,478.47/24,717.70 = 6,617.75/x
  3. Step 3: Cross multiply
    16,478.47x = 24,717.70 × 6,617.75
  4. Step 4: Simplify right side
    16,478.47x = 163,575,402.50
  5. Step 5: Solve for x
    x = 163,575,402.50/16,478.47
  6. Step 6: Final answer
    x = 9,926.61

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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.