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Finding the Fourth Proportional to 22,974.64, 34,465.80 and 9,819.16

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Solution

The fourth proportional to 22,974.64, 34,465.80 and 9,819.16 is: 14,730.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,974.64 : 34,465.80 = 9,819.16 : x
  2. Step 2: Convert to fraction form
    22,974.64/34,465.80 = 9,819.16/x
  3. Step 3: Cross multiply
    22,974.64x = 34,465.80 × 9,819.16
  4. Step 4: Simplify right side
    22,974.64x = 338,425,204.73
  5. Step 5: Solve for x
    x = 338,425,204.73/22,974.64
  6. Step 6: Final answer
    x = 14,730.38

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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.