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Finding the Fourth Proportional to 12,424.23, 17,141.36 and 7,046.06

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Solution

The fourth proportional to 12,424.23, 17,141.36 and 7,046.06 is: 9,721.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,424.23 : 17,141.36 = 7,046.06 : x
  2. Step 2: Convert to fraction form
    12,424.23/17,141.36 = 7,046.06/x
  3. Step 3: Cross multiply
    12,424.23x = 17,141.36 × 7,046.06
  4. Step 4: Simplify right side
    12,424.23x = 120,778,930.10
  5. Step 5: Solve for x
    x = 120,778,930.10/12,424.23
  6. Step 6: Final answer
    x = 9,721.24

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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.