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Finding the Fourth Proportional to 12,411.95, 17,132.48 and 7,947.73

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Solution

The fourth proportional to 12,411.95, 17,132.48 and 7,947.73 is: 10,970.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,411.95 : 17,132.48 = 7,947.73 : x
  2. Step 2: Convert to fraction form
    12,411.95/17,132.48 = 7,947.73/x
  3. Step 3: Cross multiply
    12,411.95x = 17,132.48 × 7,947.73
  4. Step 4: Simplify right side
    12,411.95x = 136,164,199.87
  5. Step 5: Solve for x
    x = 136,164,199.87/12,411.95
  6. Step 6: Final answer
    x = 10,970.41

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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.