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Finding the Fourth Proportional to 22,340.64, 30,830.29 and 12,269.29

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Solution

The fourth proportional to 22,340.64, 30,830.29 and 12,269.29 is: 16,931.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,340.64 : 30,830.29 = 12,269.29 : x
  2. Step 2: Convert to fraction form
    22,340.64/30,830.29 = 12,269.29/x
  3. Step 3: Cross multiply
    22,340.64x = 30,830.29 × 12,269.29
  4. Step 4: Simplify right side
    22,340.64x = 378,265,614.67
  5. Step 5: Solve for x
    x = 378,265,614.67/22,340.64
  6. Step 6: Final answer
    x = 16,931.73

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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.