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Finding the Fourth Proportional to 12,010.40, 18,016.62 and 9,203.32

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Solution

The fourth proportional to 12,010.40, 18,016.62 and 9,203.32 is: 13,805.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,010.40 : 18,016.62 = 9,203.32 : x
  2. Step 2: Convert to fraction form
    12,010.40/18,016.62 = 9,203.32/x
  3. Step 3: Cross multiply
    12,010.40x = 18,016.62 × 9,203.32
  4. Step 4: Simplify right side
    12,010.40x = 165,812,719.18
  5. Step 5: Solve for x
    x = 165,812,719.18/12,010.40
  6. Step 6: Final answer
    x = 13,805.76

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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.