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Finding the Fourth Proportional to 25,233.99, 37,856.97 and 7,702.71

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Solution

The fourth proportional to 25,233.99, 37,856.97 and 7,702.71 is: 11,555.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,233.99 : 37,856.97 = 7,702.71 : x
  2. Step 2: Convert to fraction form
    25,233.99/37,856.97 = 7,702.71/x
  3. Step 3: Cross multiply
    25,233.99x = 37,856.97 × 7,702.71
  4. Step 4: Simplify right side
    25,233.99x = 291,601,261.39
  5. Step 5: Solve for x
    x = 291,601,261.39/25,233.99
  6. Step 6: Final answer
    x = 11,555.89

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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.