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Finding the Fourth Proportional to 22,883.60, 34,330.88 and 9,549.17

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Solution

The fourth proportional to 22,883.60, 34,330.88 and 9,549.17 is: 14,326.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,883.60 : 34,330.88 = 9,549.17 : x
  2. Step 2: Convert to fraction form
    22,883.60/34,330.88 = 9,549.17/x
  3. Step 3: Cross multiply
    22,883.60x = 34,330.88 × 9,549.17
  4. Step 4: Simplify right side
    22,883.60x = 327,831,469.53
  5. Step 5: Solve for x
    x = 327,831,469.53/22,883.60
  6. Step 6: Final answer
    x = 14,326.05

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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.