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Finding the Fourth Proportional to 16,315, 22,514.70 and 9,691

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Solution

The fourth proportional to 16,315, 22,514.70 and 9,691 is: 13,373.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,315 : 22,514.70 = 9,691 : x
  2. Step 2: Convert to fraction form
    16,315/22,514.70 = 9,691/x
  3. Step 3: Cross multiply
    16,315x = 22,514.70 × 9,691
  4. Step 4: Simplify right side
    16,315x = 218,189,957.70
  5. Step 5: Solve for x
    x = 218,189,957.70/16,315
  6. Step 6: Final answer
    x = 13,373.58

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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.