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Finding the Fourth Proportional to 22,856.88, 31,727.46 and 22,303.92

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Solution

The fourth proportional to 22,856.88, 31,727.46 and 22,303.92 is: 30,959.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,856.88 : 31,727.46 = 22,303.92 : x
  2. Step 2: Convert to fraction form
    22,856.88/31,727.46 = 22,303.92/x
  3. Step 3: Cross multiply
    22,856.88x = 31,727.46 × 22,303.92
  4. Step 4: Simplify right side
    22,856.88x = 707,646,729.64
  5. Step 5: Solve for x
    x = 707,646,729.64/22,856.88
  6. Step 6: Final answer
    x = 30,959.90

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.