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Finding the Fourth Proportional to 16,488, 22,753.08 and 9,414

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Solution

The fourth proportional to 16,488, 22,753.08 and 9,414 is: 12,991.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,488 : 22,753.08 = 9,414 : x
  2. Step 2: Convert to fraction form
    16,488/22,753.08 = 9,414/x
  3. Step 3: Cross multiply
    16,488x = 22,753.08 × 9,414
  4. Step 4: Simplify right side
    16,488x = 214,197,495.12
  5. Step 5: Solve for x
    x = 214,197,495.12/16,488
  6. Step 6: Final answer
    x = 12,991.11

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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.