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Finding the Fourth Proportional to 13,713.61, 18,924.82 and 7,425.99

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Solution

The fourth proportional to 13,713.61, 18,924.82 and 7,425.99 is: 10,247.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.61 : 18,924.82 = 7,425.99 : x
  2. Step 2: Convert to fraction form
    13,713.61/18,924.82 = 7,425.99/x
  3. Step 3: Cross multiply
    13,713.61x = 18,924.82 × 7,425.99
  4. Step 4: Simplify right side
    13,713.61x = 140,535,429.45
  5. Step 5: Solve for x
    x = 140,535,429.45/13,713.61
  6. Step 6: Final answer
    x = 10,247.88

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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.