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Finding the Fourth Proportional to 22,680, 34,032.96 and 10,368

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Solution

The fourth proportional to 22,680, 34,032.96 and 10,368 is: 15,557.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,680 : 34,032.96 = 10,368 : x
  2. Step 2: Convert to fraction form
    22,680/34,032.96 = 10,368/x
  3. Step 3: Cross multiply
    22,680x = 34,032.96 × 10,368
  4. Step 4: Simplify right side
    22,680x = 352,853,729.28
  5. Step 5: Solve for x
    x = 352,853,729.28/22,680
  6. Step 6: Final answer
    x = 15,557.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.