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Finding the Fourth Proportional to 12,400.85, 17,112.93 and 7,023.20

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Solution

The fourth proportional to 12,400.85, 17,112.93 and 7,023.20 is: 9,691.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,400.85 : 17,112.93 = 7,023.20 : x
  2. Step 2: Convert to fraction form
    12,400.85/17,112.93 = 7,023.20/x
  3. Step 3: Cross multiply
    12,400.85x = 17,112.93 × 7,023.20
  4. Step 4: Simplify right side
    12,400.85x = 120,187,605.83
  5. Step 5: Solve for x
    x = 120,187,605.83/12,400.85
  6. Step 6: Final answer
    x = 9,691.89

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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.