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Finding the Fourth Proportional to 12,972.64, 19,446.50 and 8,279.40

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Solution

The fourth proportional to 12,972.64, 19,446.50 and 8,279.40 is: 12,411.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,972.64 : 19,446.50 = 8,279.40 : x
  2. Step 2: Convert to fraction form
    12,972.64/19,446.50 = 8,279.40/x
  3. Step 3: Cross multiply
    12,972.64x = 19,446.50 × 8,279.40
  4. Step 4: Simplify right side
    12,972.64x = 161,005,352.10
  5. Step 5: Solve for x
    x = 161,005,352.10/12,972.64
  6. Step 6: Final answer
    x = 12,411.15

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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.