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Finding the Fourth Proportional to 15,197.63, 22,761.81 and 12,420.14

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Solution

The fourth proportional to 15,197.63, 22,761.81 and 12,420.14 is: 18,601.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,197.63 : 22,761.81 = 12,420.14 : x
  2. Step 2: Convert to fraction form
    15,197.63/22,761.81 = 12,420.14/x
  3. Step 3: Cross multiply
    15,197.63x = 22,761.81 × 12,420.14
  4. Step 4: Simplify right side
    15,197.63x = 282,704,753.04
  5. Step 5: Solve for x
    x = 282,704,753.04/15,197.63
  6. Step 6: Final answer
    x = 18,601.90

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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.