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Finding the Fourth Proportional to 16,750, 23,115.27 and 9,298

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Solution

The fourth proportional to 16,750, 23,115.27 and 9,298 is: 12,831.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,750 : 23,115.27 = 9,298 : x
  2. Step 2: Convert to fraction form
    16,750/23,115.27 = 9,298/x
  3. Step 3: Cross multiply
    16,750x = 23,115.27 × 9,298
  4. Step 4: Simplify right side
    16,750x = 214,925,780.46
  5. Step 5: Solve for x
    x = 214,925,780.46/16,750
  6. Step 6: Final answer
    x = 12,831.39

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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.