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Finding the Fourth Proportional to 12,340.78, 17,032.34 and 9,708.28

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Solution

The fourth proportional to 12,340.78, 17,032.34 and 9,708.28 is: 13,399.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,340.78 : 17,032.34 = 9,708.28 : x
  2. Step 2: Convert to fraction form
    12,340.78/17,032.34 = 9,708.28/x
  3. Step 3: Cross multiply
    12,340.78x = 17,032.34 × 9,708.28
  4. Step 4: Simplify right side
    12,340.78x = 165,354,707.47
  5. Step 5: Solve for x
    x = 165,354,707.47/12,340.78
  6. Step 6: Final answer
    x = 13,399.05

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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.