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Finding the Fourth Proportional to 16,471, 22,729.98 and 9,019

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Solution

The fourth proportional to 16,471, 22,729.98 and 9,019 is: 12,446.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,471 : 22,729.98 = 9,019 : x
  2. Step 2: Convert to fraction form
    16,471/22,729.98 = 9,019/x
  3. Step 3: Cross multiply
    16,471x = 22,729.98 × 9,019
  4. Step 4: Simplify right side
    16,471x = 205,001,689.62
  5. Step 5: Solve for x
    x = 205,001,689.62/16,471
  6. Step 6: Final answer
    x = 12,446.22

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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.