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Finding the Fourth Proportional to 13,443.68, 20,166.54 and 3,582.92

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Solution

The fourth proportional to 13,443.68, 20,166.54 and 3,582.92 is: 5,374.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,443.68 : 20,166.54 = 3,582.92 : x
  2. Step 2: Convert to fraction form
    13,443.68/20,166.54 = 3,582.92/x
  3. Step 3: Cross multiply
    13,443.68x = 20,166.54 × 3,582.92
  4. Step 4: Simplify right side
    13,443.68x = 72,255,099.50
  5. Step 5: Solve for x
    x = 72,255,099.50/13,443.68
  6. Step 6: Final answer
    x = 5,374.65

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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.