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Finding the Fourth Proportional to 25,853.70, 38,780.64 and 10,271.28

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Solution

The fourth proportional to 25,853.70, 38,780.64 and 10,271.28 is: 15,406.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,853.70 : 38,780.64 = 10,271.28 : x
  2. Step 2: Convert to fraction form
    25,853.70/38,780.64 = 10,271.28/x
  3. Step 3: Cross multiply
    25,853.70x = 38,780.64 × 10,271.28
  4. Step 4: Simplify right side
    25,853.70x = 398,326,812.02
  5. Step 5: Solve for x
    x = 398,326,812.02/25,853.70
  6. Step 6: Final answer
    x = 15,406.96

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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.