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Finding the Fourth Proportional to 15,877.89, 23,820.48 and 5,489.64

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Solution

The fourth proportional to 15,877.89, 23,820.48 and 5,489.64 is: 8,235.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,877.89 : 23,820.48 = 5,489.64 : x
  2. Step 2: Convert to fraction form
    15,877.89/23,820.48 = 5,489.64/x
  3. Step 3: Cross multiply
    15,877.89x = 23,820.48 × 5,489.64
  4. Step 4: Simplify right side
    15,877.89x = 130,765,859.83
  5. Step 5: Solve for x
    x = 130,765,859.83/15,877.89
  6. Step 6: Final answer
    x = 8,235.72

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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.