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Finding the Fourth Proportional to 22,787.15, 31,446.16 and 12,715.00

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Solution

The fourth proportional to 22,787.15, 31,446.16 and 12,715.00 is: 17,546.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,787.15 : 31,446.16 = 12,715.00 : x
  2. Step 2: Convert to fraction form
    22,787.15/31,446.16 = 12,715.00/x
  3. Step 3: Cross multiply
    22,787.15x = 31,446.16 × 12,715.00
  4. Step 4: Simplify right side
    22,787.15x = 399,837,814.00
  5. Step 5: Solve for x
    x = 399,837,814.00/22,787.15
  6. Step 6: Final answer
    x = 17,546.64

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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.