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Finding the Fourth Proportional to 25,498.62, 38,262.90 and 10,706.40

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Solution

The fourth proportional to 25,498.62, 38,262.90 and 10,706.40 is: 16,065.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,498.62 : 38,262.90 = 10,706.40 : x
  2. Step 2: Convert to fraction form
    25,498.62/38,262.90 = 10,706.40/x
  3. Step 3: Cross multiply
    25,498.62x = 38,262.90 × 10,706.40
  4. Step 4: Simplify right side
    25,498.62x = 409,657,912.56
  5. Step 5: Solve for x
    x = 409,657,912.56/25,498.62
  6. Step 6: Final answer
    x = 16,065.89

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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.