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Finding the Fourth Proportional to 16,478.24, 22,740.24 and 9,025.76

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Solution

The fourth proportional to 16,478.24, 22,740.24 and 9,025.76 is: 12,455.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,478.24 : 22,740.24 = 9,025.76 : x
  2. Step 2: Convert to fraction form
    16,478.24/22,740.24 = 9,025.76/x
  3. Step 3: Cross multiply
    16,478.24x = 22,740.24 × 9,025.76
  4. Step 4: Simplify right side
    16,478.24x = 205,247,948.58
  5. Step 5: Solve for x
    x = 205,247,948.58/16,478.24
  6. Step 6: Final answer
    x = 12,455.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.