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Finding the Fourth Proportional to 12,134.64, 18,192.75 and 6,287.52

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Solution

The fourth proportional to 12,134.64, 18,192.75 and 6,287.52 is: 9,426.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,134.64 : 18,192.75 = 6,287.52 : x
  2. Step 2: Convert to fraction form
    12,134.64/18,192.75 = 6,287.52/x
  3. Step 3: Cross multiply
    12,134.64x = 18,192.75 × 6,287.52
  4. Step 4: Simplify right side
    12,134.64x = 114,387,279.48
  5. Step 5: Solve for x
    x = 114,387,279.48/12,134.64
  6. Step 6: Final answer
    x = 9,426.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.