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Finding the Fourth Proportional to 22,956.86, 31,678.04 and 12,886.41

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Solution

The fourth proportional to 22,956.86, 31,678.04 and 12,886.41 is: 17,781.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,956.86 : 31,678.04 = 12,886.41 : x
  2. Step 2: Convert to fraction form
    22,956.86/31,678.04 = 12,886.41/x
  3. Step 3: Cross multiply
    22,956.86x = 31,678.04 × 12,886.41
  4. Step 4: Simplify right side
    22,956.86x = 408,216,319.60
  5. Step 5: Solve for x
    x = 408,216,319.60/22,956.86
  6. Step 6: Final answer
    x = 17,781.88

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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.