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Finding the Fourth Proportional to 13,454.48, 18,567.02 and 7,486

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Solution

The fourth proportional to 13,454.48, 18,567.02 and 7,486 is: 10,330.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,454.48 : 18,567.02 = 7,486 : x
  2. Step 2: Convert to fraction form
    13,454.48/18,567.02 = 7,486/x
  3. Step 3: Cross multiply
    13,454.48x = 18,567.02 × 7,486
  4. Step 4: Simplify right side
    13,454.48x = 138,992,711.72
  5. Step 5: Solve for x
    x = 138,992,711.72/13,454.48
  6. Step 6: Final answer
    x = 10,330.59

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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.