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Finding the Fourth Proportional to 25,306.40, 37,982.82 and 12,835.10

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Solution

The fourth proportional to 25,306.40, 37,982.82 and 12,835.10 is: 19,264.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,306.40 : 37,982.82 = 12,835.10 : x
  2. Step 2: Convert to fraction form
    25,306.40/37,982.82 = 12,835.10/x
  3. Step 3: Cross multiply
    25,306.40x = 37,982.82 × 12,835.10
  4. Step 4: Simplify right side
    25,306.40x = 487,513,292.98
  5. Step 5: Solve for x
    x = 487,513,292.98/25,306.40
  6. Step 6: Final answer
    x = 19,264.43

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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.