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Finding the Fourth Proportional to 13,385.47, 18,470.16 and 7,416.38

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Solution

The fourth proportional to 13,385.47, 18,470.16 and 7,416.38 is: 10,233.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,385.47 : 18,470.16 = 7,416.38 : x
  2. Step 2: Convert to fraction form
    13,385.47/18,470.16 = 7,416.38/x
  3. Step 3: Cross multiply
    13,385.47x = 18,470.16 × 7,416.38
  4. Step 4: Simplify right side
    13,385.47x = 136,981,725.22
  5. Step 5: Solve for x
    x = 136,981,725.22/13,385.47
  6. Step 6: Final answer
    x = 10,233.61

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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.