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Finding the Fourth Proportional to 25,739.68, 38,616.18 and 7,271.68

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Solution

The fourth proportional to 25,739.68, 38,616.18 and 7,271.68 is: 10,909.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,739.68 : 38,616.18 = 7,271.68 : x
  2. Step 2: Convert to fraction form
    25,739.68/38,616.18 = 7,271.68/x
  3. Step 3: Cross multiply
    25,739.68x = 38,616.18 × 7,271.68
  4. Step 4: Simplify right side
    25,739.68x = 280,804,503.78
  5. Step 5: Solve for x
    x = 280,804,503.78/25,739.68
  6. Step 6: Final answer
    x = 10,909.40

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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.