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Finding the Fourth Proportional to 22,858.14, 31,547.14 and 12,787.14

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Solution

The fourth proportional to 22,858.14, 31,547.14 and 12,787.14 is: 17,647.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,858.14 : 31,547.14 = 12,787.14 : x
  2. Step 2: Convert to fraction form
    22,858.14/31,547.14 = 12,787.14/x
  3. Step 3: Cross multiply
    22,858.14x = 31,547.14 × 12,787.14
  4. Step 4: Simplify right side
    22,858.14x = 403,397,695.78
  5. Step 5: Solve for x
    x = 403,397,695.78/22,858.14
  6. Step 6: Final answer
    x = 17,647.88

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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.