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Finding the Fourth Proportional to 25,598.98, 38,375.88 and 10,005.70

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Solution

The fourth proportional to 25,598.98, 38,375.88 and 10,005.70 is: 14,999.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,598.98 : 38,375.88 = 10,005.70 : x
  2. Step 2: Convert to fraction form
    25,598.98/38,375.88 = 10,005.70/x
  3. Step 3: Cross multiply
    25,598.98x = 38,375.88 × 10,005.70
  4. Step 4: Simplify right side
    25,598.98x = 383,977,542.52
  5. Step 5: Solve for x
    x = 383,977,542.52/25,598.98
  6. Step 6: Final answer
    x = 14,999.72

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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.