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Finding the Fourth Proportional to 24,951, 34,422.06 and 16,462.62

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Solution

The fourth proportional to 24,951, 34,422.06 and 16,462.62 is: 22,711.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,951 : 34,422.06 = 16,462.62 : x
  2. Step 2: Convert to fraction form
    24,951/34,422.06 = 16,462.62/x
  3. Step 3: Cross multiply
    24,951x = 34,422.06 × 16,462.62
  4. Step 4: Simplify right side
    24,951x = 566,677,293.40
  5. Step 5: Solve for x
    x = 566,677,293.40/24,951
  6. Step 6: Final answer
    x = 22,711.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.