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Finding the Fourth Proportional to 12,340.40, 17,023.56 and 7,302.20

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Solution

The fourth proportional to 12,340.40, 17,023.56 and 7,302.20 is: 10,073.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,340.40 : 17,023.56 = 7,302.20 : x
  2. Step 2: Convert to fraction form
    12,340.40/17,023.56 = 7,302.20/x
  3. Step 3: Cross multiply
    12,340.40x = 17,023.56 × 7,302.20
  4. Step 4: Simplify right side
    12,340.40x = 124,309,439.83
  5. Step 5: Solve for x
    x = 124,309,439.83/12,340.40
  6. Step 6: Final answer
    x = 10,073.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.