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Finding the Fourth Proportional to 13,308.71, 18,366.95 and 7,644.38

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Solution

The fourth proportional to 13,308.71, 18,366.95 and 7,644.38 is: 10,549.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,308.71 : 18,366.95 = 7,644.38 : x
  2. Step 2: Convert to fraction form
    13,308.71/18,366.95 = 7,644.38/x
  3. Step 3: Cross multiply
    13,308.71x = 18,366.95 × 7,644.38
  4. Step 4: Simplify right side
    13,308.71x = 140,403,872.52
  5. Step 5: Solve for x
    x = 140,403,872.52/13,308.71
  6. Step 6: Final answer
    x = 10,549.78

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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.