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Finding the Fourth Proportional to 15,901.25, 21,946.41 and 8,829.95

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Solution

The fourth proportional to 15,901.25, 21,946.41 and 8,829.95 is: 12,186.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,901.25 : 21,946.41 = 8,829.95 : x
  2. Step 2: Convert to fraction form
    15,901.25/21,946.41 = 8,829.95/x
  3. Step 3: Cross multiply
    15,901.25x = 21,946.41 × 8,829.95
  4. Step 4: Simplify right side
    15,901.25x = 193,785,593.25
  5. Step 5: Solve for x
    x = 193,785,593.25/15,901.25
  6. Step 6: Final answer
    x = 12,186.82

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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.