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Finding the Fourth Proportional to 13,497.71, 20,244.13 and 4,135.46

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Solution

The fourth proportional to 13,497.71, 20,244.13 and 4,135.46 is: 6,202.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,497.71 : 20,244.13 = 4,135.46 : x
  2. Step 2: Convert to fraction form
    13,497.71/20,244.13 = 4,135.46/x
  3. Step 3: Cross multiply
    13,497.71x = 20,244.13 × 4,135.46
  4. Step 4: Simplify right side
    13,497.71x = 83,718,678.29
  5. Step 5: Solve for x
    x = 83,718,678.29/13,497.71
  6. Step 6: Final answer
    x = 6,202.44

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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.