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Finding the Fourth Proportional to 12,292.52, 16,970.66 and 8,112.92

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Solution

The fourth proportional to 12,292.52, 16,970.66 and 8,112.92 is: 11,200.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,292.52 : 16,970.66 = 8,112.92 : x
  2. Step 2: Convert to fraction form
    12,292.52/16,970.66 = 8,112.92/x
  3. Step 3: Cross multiply
    12,292.52x = 16,970.66 × 8,112.92
  4. Step 4: Simplify right side
    12,292.52x = 137,681,481.51
  5. Step 5: Solve for x
    x = 137,681,481.51/12,292.52
  6. Step 6: Final answer
    x = 11,200.43

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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.