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Finding the Fourth Proportional to 16,402.73, 24,583.47 and 7,031.66

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Solution

The fourth proportional to 16,402.73, 24,583.47 and 7,031.66 is: 10,538.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.73 : 24,583.47 = 7,031.66 : x
  2. Step 2: Convert to fraction form
    16,402.73/24,583.47 = 7,031.66/x
  3. Step 3: Cross multiply
    16,402.73x = 24,583.47 × 7,031.66
  4. Step 4: Simplify right side
    16,402.73x = 172,862,650.99
  5. Step 5: Solve for x
    x = 172,862,650.99/16,402.73
  6. Step 6: Final answer
    x = 10,538.65

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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.