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Finding the Fourth Proportional to 16,614, 22,901.76 and 10,938.96

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Solution

The fourth proportional to 16,614, 22,901.76 and 10,938.96 is: 15,078.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,614 : 22,901.76 = 10,938.96 : x
  2. Step 2: Convert to fraction form
    16,614/22,901.76 = 10,938.96/x
  3. Step 3: Cross multiply
    16,614x = 22,901.76 × 10,938.96
  4. Step 4: Simplify right side
    16,614x = 250,521,436.57
  5. Step 5: Solve for x
    x = 250,521,436.57/16,614
  6. Step 6: Final answer
    x = 15,078.94

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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.