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Finding the Fourth Proportional to 25,580.98, 38,348.88 and 9,987.70

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Solution

The fourth proportional to 25,580.98, 38,348.88 and 9,987.70 is: 14,972.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,580.98 : 38,348.88 = 9,987.70 : x
  2. Step 2: Convert to fraction form
    25,580.98/38,348.88 = 9,987.70/x
  3. Step 3: Cross multiply
    25,580.98x = 38,348.88 × 9,987.70
  4. Step 4: Simplify right side
    25,580.98x = 383,017,108.78
  5. Step 5: Solve for x
    x = 383,017,108.78/25,580.98
  6. Step 6: Final answer
    x = 14,972.73

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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.