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Finding the Fourth Proportional to 22,787.88, 31,447.08 and 12,716.16

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Solution

The fourth proportional to 22,787.88, 31,447.08 and 12,716.16 is: 17,548.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,787.88 : 31,447.08 = 12,716.16 : x
  2. Step 2: Convert to fraction form
    22,787.88/31,447.08 = 12,716.16/x
  3. Step 3: Cross multiply
    22,787.88x = 31,447.08 × 12,716.16
  4. Step 4: Simplify right side
    22,787.88x = 399,886,100.81
  5. Step 5: Solve for x
    x = 399,886,100.81/22,787.88
  6. Step 6: Final answer
    x = 17,548.19

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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.