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Finding the Fourth Proportional to 12,409.20, 17,123.04 and 7,031.52

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Solution

The fourth proportional to 12,409.20, 17,123.04 and 7,031.52 is: 9,702.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.20 : 17,123.04 = 7,031.52 : x
  2. Step 2: Convert to fraction form
    12,409.20/17,123.04 = 7,031.52/x
  3. Step 3: Cross multiply
    12,409.20x = 17,123.04 × 7,031.52
  4. Step 4: Simplify right side
    12,409.20x = 120,400,998.22
  5. Step 5: Solve for x
    x = 120,400,998.22/12,409.20
  6. Step 6: Final answer
    x = 9,702.56

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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.