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Finding the Fourth Proportional to 25,228.52, 37,847.75 and 7,459.49

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Solution

The fourth proportional to 25,228.52, 37,847.75 and 7,459.49 is: 11,190.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,228.52 : 37,847.75 = 7,459.49 : x
  2. Step 2: Convert to fraction form
    25,228.52/37,847.75 = 7,459.49/x
  3. Step 3: Cross multiply
    25,228.52x = 37,847.75 × 7,459.49
  4. Step 4: Simplify right side
    25,228.52x = 282,324,686.11
  5. Step 5: Solve for x
    x = 282,324,686.11/25,228.52
  6. Step 6: Final answer
    x = 11,190.70

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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.