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Finding the Fourth Proportional to 13,387.14, 18,470.57 and 8,007.38

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Solution

The fourth proportional to 13,387.14, 18,470.57 and 8,007.38 is: 11,047.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,387.14 : 18,470.57 = 8,007.38 : x
  2. Step 2: Convert to fraction form
    13,387.14/18,470.57 = 8,007.38/x
  3. Step 3: Cross multiply
    13,387.14x = 18,470.57 × 8,007.38
  4. Step 4: Simplify right side
    13,387.14x = 147,900,809.68
  5. Step 5: Solve for x
    x = 147,900,809.68/13,387.14
  6. Step 6: Final answer
    x = 11,047.98

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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.