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Finding the Fourth Proportional to 25,822.72, 38,727.70 and 7,101.85

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Solution

The fourth proportional to 25,822.72, 38,727.70 and 7,101.85 is: 10,651.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,822.72 : 38,727.70 = 7,101.85 : x
  2. Step 2: Convert to fraction form
    25,822.72/38,727.70 = 7,101.85/x
  3. Step 3: Cross multiply
    25,822.72x = 38,727.70 × 7,101.85
  4. Step 4: Simplify right side
    25,822.72x = 275,038,334.00
  5. Step 5: Solve for x
    x = 275,038,334.00/25,822.72
  6. Step 6: Final answer
    x = 10,651.02

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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.