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Finding the Fourth Proportional to 13,501.71, 20,253.96 and 4,141.62

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Solution

The fourth proportional to 13,501.71, 20,253.96 and 4,141.62 is: 6,212.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,501.71 : 20,253.96 = 4,141.62 : x
  2. Step 2: Convert to fraction form
    13,501.71/20,253.96 = 4,141.62/x
  3. Step 3: Cross multiply
    13,501.71x = 20,253.96 × 4,141.62
  4. Step 4: Simplify right side
    13,501.71x = 83,884,205.82
  5. Step 5: Solve for x
    x = 83,884,205.82/13,501.71
  6. Step 6: Final answer
    x = 6,212.86

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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.