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Finding the Fourth Proportional to 15,905.64, 21,963.69 and 9,947.46

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Solution

The fourth proportional to 15,905.64, 21,963.69 and 9,947.46 is: 13,736.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,905.64 : 21,963.69 = 9,947.46 : x
  2. Step 2: Convert to fraction form
    15,905.64/21,963.69 = 9,947.46/x
  3. Step 3: Cross multiply
    15,905.64x = 21,963.69 × 9,947.46
  4. Step 4: Simplify right side
    15,905.64x = 218,482,927.73
  5. Step 5: Solve for x
    x = 218,482,927.73/15,905.64
  6. Step 6: Final answer
    x = 13,736.19

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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.