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Finding the Fourth Proportional to 15,947.46, 22,005 and 9,232.56

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Solution

The fourth proportional to 15,947.46, 22,005 and 9,232.56 is: 12,739.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,947.46 : 22,005 = 9,232.56 : x
  2. Step 2: Convert to fraction form
    15,947.46/22,005 = 9,232.56/x
  3. Step 3: Cross multiply
    15,947.46x = 22,005 × 9,232.56
  4. Step 4: Simplify right side
    15,947.46x = 203,162,482.80
  5. Step 5: Solve for x
    x = 203,162,482.80/15,947.46
  6. Step 6: Final answer
    x = 12,739.49

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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.