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Finding the Fourth Proportional to 12,394.57, 18,592.08 and 4,502.69

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Solution

The fourth proportional to 12,394.57, 18,592.08 and 4,502.69 is: 6,754.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,394.57 : 18,592.08 = 4,502.69 : x
  2. Step 2: Convert to fraction form
    12,394.57/18,592.08 = 4,502.69/x
  3. Step 3: Cross multiply
    12,394.57x = 18,592.08 × 4,502.69
  4. Step 4: Simplify right side
    12,394.57x = 83,714,372.70
  5. Step 5: Solve for x
    x = 83,714,372.70/12,394.57
  6. Step 6: Final answer
    x = 6,754.12

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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.