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Finding the Fourth Proportional to 22,705.68, 31,334.94 and 13,146.60

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Solution

The fourth proportional to 22,705.68, 31,334.94 and 13,146.60 is: 18,142.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,705.68 : 31,334.94 = 13,146.60 : x
  2. Step 2: Convert to fraction form
    22,705.68/31,334.94 = 13,146.60/x
  3. Step 3: Cross multiply
    22,705.68x = 31,334.94 × 13,146.60
  4. Step 4: Simplify right side
    22,705.68x = 411,947,922.20
  5. Step 5: Solve for x
    x = 411,947,922.20/22,705.68
  6. Step 6: Final answer
    x = 18,142.95

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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.