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Finding the Fourth Proportional to 15,823.56, 23,742.18 and 7,498.92

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Solution

The fourth proportional to 15,823.56, 23,742.18 and 7,498.92 is: 11,251.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,823.56 : 23,742.18 = 7,498.92 : x
  2. Step 2: Convert to fraction form
    15,823.56/23,742.18 = 7,498.92/x
  3. Step 3: Cross multiply
    15,823.56x = 23,742.18 × 7,498.92
  4. Step 4: Simplify right side
    15,823.56x = 178,040,708.45
  5. Step 5: Solve for x
    x = 178,040,708.45/15,823.56
  6. Step 6: Final answer
    x = 11,251.62

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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.