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Finding the Fourth Proportional to 10,016.40, 15,008.40 and 9,433.20

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Solution

The fourth proportional to 10,016.40, 15,008.40 and 9,433.20 is: 14,134.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,016.40 : 15,008.40 = 9,433.20 : x
  2. Step 2: Convert to fraction form
    10,016.40/15,008.40 = 9,433.20/x
  3. Step 3: Cross multiply
    10,016.40x = 15,008.40 × 9,433.20
  4. Step 4: Simplify right side
    10,016.40x = 141,577,238.88
  5. Step 5: Solve for x
    x = 141,577,238.88/10,016.40
  6. Step 6: Final answer
    x = 14,134.54

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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.