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Finding the Fourth Proportional to 13,686.38, 20,530.44 and 5,787.42

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Solution

The fourth proportional to 13,686.38, 20,530.44 and 5,787.42 is: 8,681.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.38 : 20,530.44 = 5,787.42 : x
  2. Step 2: Convert to fraction form
    13,686.38/20,530.44 = 5,787.42/x
  3. Step 3: Cross multiply
    13,686.38x = 20,530.44 × 5,787.42
  4. Step 4: Simplify right side
    13,686.38x = 118,818,279.06
  5. Step 5: Solve for x
    x = 118,818,279.06/13,686.38
  6. Step 6: Final answer
    x = 8,681.50

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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.