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Finding the Fourth Proportional to 13,424.65, 20,140.39 and 9,483.61

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Solution

The fourth proportional to 13,424.65, 20,140.39 and 9,483.61 is: 14,227.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,424.65 : 20,140.39 = 9,483.61 : x
  2. Step 2: Convert to fraction form
    13,424.65/20,140.39 = 9,483.61/x
  3. Step 3: Cross multiply
    13,424.65x = 20,140.39 × 9,483.61
  4. Step 4: Simplify right side
    13,424.65x = 191,003,539.96
  5. Step 5: Solve for x
    x = 191,003,539.96/13,424.65
  6. Step 6: Final answer
    x = 14,227.82

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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.