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Finding the Fourth Proportional to 15,947.49, 22,004.64 and 9,233.40

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Solution

The fourth proportional to 15,947.49, 22,004.64 and 9,233.40 is: 12,740.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,947.49 : 22,004.64 = 9,233.40 : x
  2. Step 2: Convert to fraction form
    15,947.49/22,004.64 = 9,233.40/x
  3. Step 3: Cross multiply
    15,947.49x = 22,004.64 × 9,233.40
  4. Step 4: Simplify right side
    15,947.49x = 203,177,642.98
  5. Step 5: Solve for x
    x = 203,177,642.98/15,947.49
  6. Step 6: Final answer
    x = 12,740.42

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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.