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Finding the Fourth Proportional to 22,956, 34,439.76 and 6,540

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Solution

The fourth proportional to 22,956, 34,439.76 and 6,540 is: 9,811.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,956 : 34,439.76 = 6,540 : x
  2. Step 2: Convert to fraction form
    22,956/34,439.76 = 6,540/x
  3. Step 3: Cross multiply
    22,956x = 34,439.76 × 6,540
  4. Step 4: Simplify right side
    22,956x = 225,236,030.40
  5. Step 5: Solve for x
    x = 225,236,030.40/22,956
  6. Step 6: Final answer
    x = 9,811.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.