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Finding the Fourth Proportional to 15,672.12, 23,517.90 and 6,438.12

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Solution

The fourth proportional to 15,672.12, 23,517.90 and 6,438.12 is: 9,661.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,672.12 : 23,517.90 = 6,438.12 : x
  2. Step 2: Convert to fraction form
    15,672.12/23,517.90 = 6,438.12/x
  3. Step 3: Cross multiply
    15,672.12x = 23,517.90 × 6,438.12
  4. Step 4: Simplify right side
    15,672.12x = 151,411,062.35
  5. Step 5: Solve for x
    x = 151,411,062.35/15,672.12
  6. Step 6: Final answer
    x = 9,661.17

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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.