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Finding the Fourth Proportional to 12,034.24, 16,609.44 and 7,842.40

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Solution

The fourth proportional to 12,034.24, 16,609.44 and 7,842.40 is: 10,823.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,034.24 : 16,609.44 = 7,842.40 : x
  2. Step 2: Convert to fraction form
    12,034.24/16,609.44 = 7,842.40/x
  3. Step 3: Cross multiply
    12,034.24x = 16,609.44 × 7,842.40
  4. Step 4: Simplify right side
    12,034.24x = 130,257,872.26
  5. Step 5: Solve for x
    x = 130,257,872.26/12,034.24
  6. Step 6: Final answer
    x = 10,823.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.