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Finding the Fourth Proportional to 22,878.32, 31,565.76 and 13,443.44

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Solution

The fourth proportional to 22,878.32, 31,565.76 and 13,443.44 is: 18,548.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,878.32 : 31,565.76 = 13,443.44 : x
  2. Step 2: Convert to fraction form
    22,878.32/31,565.76 = 13,443.44/x
  3. Step 3: Cross multiply
    22,878.32x = 31,565.76 × 13,443.44
  4. Step 4: Simplify right side
    22,878.32x = 424,352,400.61
  5. Step 5: Solve for x
    x = 424,352,400.61/22,878.32
  6. Step 6: Final answer
    x = 18,548.23

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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.