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Finding the Fourth Proportional to 13,252.37, 18,287.17 and 7,585.81

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Solution

The fourth proportional to 13,252.37, 18,287.17 and 7,585.81 is: 10,467.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,252.37 : 18,287.17 = 7,585.81 : x
  2. Step 2: Convert to fraction form
    13,252.37/18,287.17 = 7,585.81/x
  3. Step 3: Cross multiply
    13,252.37x = 18,287.17 × 7,585.81
  4. Step 4: Simplify right side
    13,252.37x = 138,722,932.38
  5. Step 5: Solve for x
    x = 138,722,932.38/13,252.37
  6. Step 6: Final answer
    x = 10,467.79

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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.