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Finding the Fourth Proportional to 25,253.34, 37,879.98 and 7,723.16

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Solution

The fourth proportional to 25,253.34, 37,879.98 and 7,723.16 is: 11,584.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,253.34 : 37,879.98 = 7,723.16 : x
  2. Step 2: Convert to fraction form
    25,253.34/37,879.98 = 7,723.16/x
  3. Step 3: Cross multiply
    25,253.34x = 37,879.98 × 7,723.16
  4. Step 4: Simplify right side
    25,253.34x = 292,553,146.34
  5. Step 5: Solve for x
    x = 292,553,146.34/25,253.34
  6. Step 6: Final answer
    x = 11,584.73

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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.