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Finding the Fourth Proportional to 12,458.24, 17,182.65 and 7,982.40

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Solution

The fourth proportional to 12,458.24, 17,182.65 and 7,982.40 is: 11,009.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,458.24 : 17,182.65 = 7,982.40 : x
  2. Step 2: Convert to fraction form
    12,458.24/17,182.65 = 7,982.40/x
  3. Step 3: Cross multiply
    12,458.24x = 17,182.65 × 7,982.40
  4. Step 4: Simplify right side
    12,458.24x = 137,158,785.36
  5. Step 5: Solve for x
    x = 137,158,785.36/12,458.24
  6. Step 6: Final answer
    x = 11,009.48

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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.