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Finding the Fourth Proportional to 29,707, 40,995.68 and 16,459

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Solution

The fourth proportional to 29,707, 40,995.68 and 16,459 is: 22,713.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,707 : 40,995.68 = 16,459 : x
  2. Step 2: Convert to fraction form
    29,707/40,995.68 = 16,459/x
  3. Step 3: Cross multiply
    29,707x = 40,995.68 × 16,459
  4. Step 4: Simplify right side
    29,707x = 674,747,897.12
  5. Step 5: Solve for x
    x = 674,747,897.12/29,707
  6. Step 6: Final answer
    x = 22,713.43

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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.