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Finding the Fourth Proportional to 22,941.60, 34,382.16 and 17,737.44

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Solution

The fourth proportional to 22,941.60, 34,382.16 and 17,737.44 is: 26,582.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,941.60 : 34,382.16 = 17,737.44 : x
  2. Step 2: Convert to fraction form
    22,941.60/34,382.16 = 17,737.44/x
  3. Step 3: Cross multiply
    22,941.60x = 34,382.16 × 17,737.44
  4. Step 4: Simplify right side
    22,941.60x = 609,851,500.07
  5. Step 5: Solve for x
    x = 609,851,500.07/22,941.60
  6. Step 6: Final answer
    x = 26,582.78

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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.