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Finding the Fourth Proportional to 12,301.52, 18,437.84 and 5,713.84

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Solution

The fourth proportional to 12,301.52, 18,437.84 and 5,713.84 is: 8,564.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,301.52 : 18,437.84 = 5,713.84 : x
  2. Step 2: Convert to fraction form
    12,301.52/18,437.84 = 5,713.84/x
  3. Step 3: Cross multiply
    12,301.52x = 18,437.84 × 5,713.84
  4. Step 4: Simplify right side
    12,301.52x = 105,350,867.71
  5. Step 5: Solve for x
    x = 105,350,867.71/12,301.52
  6. Step 6: Final answer
    x = 8,564.05

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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.