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Finding the Fourth Proportional to 13,711.65, 18,922.13 and 7,424.02

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Solution

The fourth proportional to 13,711.65, 18,922.13 and 7,424.02 is: 10,245.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,711.65 : 18,922.13 = 7,424.02 : x
  2. Step 2: Convert to fraction form
    13,711.65/18,922.13 = 7,424.02/x
  3. Step 3: Cross multiply
    13,711.65x = 18,922.13 × 7,424.02
  4. Step 4: Simplify right side
    13,711.65x = 140,478,271.56
  5. Step 5: Solve for x
    x = 140,478,271.56/13,711.65
  6. Step 6: Final answer
    x = 10,245.18

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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.