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Finding the Fourth Proportional to 15,687.12, 23,532 and 4,000.32

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Solution

The fourth proportional to 15,687.12, 23,532 and 4,000.32 is: 6,000.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,687.12 : 23,532 = 4,000.32 : x
  2. Step 2: Convert to fraction form
    15,687.12/23,532 = 4,000.32/x
  3. Step 3: Cross multiply
    15,687.12x = 23,532 × 4,000.32
  4. Step 4: Simplify right side
    15,687.12x = 94,135,530.24
  5. Step 5: Solve for x
    x = 94,135,530.24/15,687.12
  6. Step 6: Final answer
    x = 6,000.82

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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.