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Finding the Fourth Proportional to 25,538.68, 38,308.04 and 6,818.76

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Solution

The fourth proportional to 25,538.68, 38,308.04 and 6,818.76 is: 10,228.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,538.68 : 38,308.04 = 6,818.76 : x
  2. Step 2: Convert to fraction form
    25,538.68/38,308.04 = 6,818.76/x
  3. Step 3: Cross multiply
    25,538.68x = 38,308.04 × 6,818.76
  4. Step 4: Simplify right side
    25,538.68x = 261,213,330.83
  5. Step 5: Solve for x
    x = 261,213,330.83/25,538.68
  6. Step 6: Final answer
    x = 10,228.15

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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.