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Finding the Fourth Proportional to 22,858.32, 31,543.44 and 12,787.92

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Solution

The fourth proportional to 22,858.32, 31,543.44 and 12,787.92 is: 17,646.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,858.32 : 31,543.44 = 12,787.92 : x
  2. Step 2: Convert to fraction form
    22,858.32/31,543.44 = 12,787.92/x
  3. Step 3: Cross multiply
    22,858.32x = 31,543.44 × 12,787.92
  4. Step 4: Simplify right side
    22,858.32x = 403,374,987.24
  5. Step 5: Solve for x
    x = 403,374,987.24/22,858.32
  6. Step 6: Final answer
    x = 17,646.75

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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.