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Finding the Fourth Proportional to 12,641.76, 17,443.92 and 7,335.80

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Solution

The fourth proportional to 12,641.76, 17,443.92 and 7,335.80 is: 10,122.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,641.76 : 17,443.92 = 7,335.80 : x
  2. Step 2: Convert to fraction form
    12,641.76/17,443.92 = 7,335.80/x
  3. Step 3: Cross multiply
    12,641.76x = 17,443.92 × 7,335.80
  4. Step 4: Simplify right side
    12,641.76x = 127,965,108.34
  5. Step 5: Solve for x
    x = 127,965,108.34/12,641.76
  6. Step 6: Final answer
    x = 10,122.41

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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.