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Finding the Fourth Proportional to 13,439.52, 18,546.17 and 7,470.77

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Solution

The fourth proportional to 13,439.52, 18,546.17 and 7,470.77 is: 10,309.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,439.52 : 18,546.17 = 7,470.77 : x
  2. Step 2: Convert to fraction form
    13,439.52/18,546.17 = 7,470.77/x
  3. Step 3: Cross multiply
    13,439.52x = 18,546.17 × 7,470.77
  4. Step 4: Simplify right side
    13,439.52x = 138,554,040.37
  5. Step 5: Solve for x
    x = 138,554,040.37/13,439.52
  6. Step 6: Final answer
    x = 10,309.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.