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Finding the Fourth Proportional to 12,440.96, 17,165.76 and 7,404.80

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Solution

The fourth proportional to 12,440.96, 17,165.76 and 7,404.80 is: 10,216.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,440.96 : 17,165.76 = 7,404.80 : x
  2. Step 2: Convert to fraction form
    12,440.96/17,165.76 = 7,404.80/x
  3. Step 3: Cross multiply
    12,440.96x = 17,165.76 × 7,404.80
  4. Step 4: Simplify right side
    12,440.96x = 127,109,019.65
  5. Step 5: Solve for x
    x = 127,109,019.65/12,440.96
  6. Step 6: Final answer
    x = 10,216.98

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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.