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Finding the Fourth Proportional to 15,820.88, 23,740.50 and 6,459.44

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Solution

The fourth proportional to 15,820.88, 23,740.50 and 6,459.44 is: 9,692.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,820.88 : 23,740.50 = 6,459.44 : x
  2. Step 2: Convert to fraction form
    15,820.88/23,740.50 = 6,459.44/x
  3. Step 3: Cross multiply
    15,820.88x = 23,740.50 × 6,459.44
  4. Step 4: Simplify right side
    15,820.88x = 153,350,335.32
  5. Step 5: Solve for x
    x = 153,350,335.32/15,820.88
  6. Step 6: Final answer
    x = 9,692.91

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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.