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Finding the Fourth Proportional to 25,229.98, 37,853.34 and 11,188.09

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Solution

The fourth proportional to 25,229.98, 37,853.34 and 11,188.09 is: 16,785.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,229.98 : 37,853.34 = 11,188.09 : x
  2. Step 2: Convert to fraction form
    25,229.98/37,853.34 = 11,188.09/x
  3. Step 3: Cross multiply
    25,229.98x = 37,853.34 × 11,188.09
  4. Step 4: Simplify right side
    25,229.98x = 423,506,574.72
  5. Step 5: Solve for x
    x = 423,506,574.72/25,229.98
  6. Step 6: Final answer
    x = 16,785.85

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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.