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Finding the Fourth Proportional to 22,671.50, 31,285.64 and 12,599.90

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Solution

The fourth proportional to 22,671.50, 31,285.64 and 12,599.90 is: 17,387.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,671.50 : 31,285.64 = 12,599.90 : x
  2. Step 2: Convert to fraction form
    22,671.50/31,285.64 = 12,599.90/x
  3. Step 3: Cross multiply
    22,671.50x = 31,285.64 × 12,599.90
  4. Step 4: Simplify right side
    22,671.50x = 394,195,716.01
  5. Step 5: Solve for x
    x = 394,195,716.01/22,671.50
  6. Step 6: Final answer
    x = 17,387.28

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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.