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Finding the Fourth Proportional to 12,084.40, 16,631.16 and 9,972.40

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Solution

The fourth proportional to 12,084.40, 16,631.16 and 9,972.40 is: 13,724.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,084.40 : 16,631.16 = 9,972.40 : x
  2. Step 2: Convert to fraction form
    12,084.40/16,631.16 = 9,972.40/x
  3. Step 3: Cross multiply
    12,084.40x = 16,631.16 × 9,972.40
  4. Step 4: Simplify right side
    12,084.40x = 165,852,579.98
  5. Step 5: Solve for x
    x = 165,852,579.98/12,084.40
  6. Step 6: Final answer
    x = 13,724.52

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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.