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Finding the Fourth Proportional to 15,947.50, 22,007.56 and 9,323.50

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Solution

The fourth proportional to 15,947.50, 22,007.56 and 9,323.50 is: 12,866.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,947.50 : 22,007.56 = 9,323.50 : x
  2. Step 2: Convert to fraction form
    15,947.50/22,007.56 = 9,323.50/x
  3. Step 3: Cross multiply
    15,947.50x = 22,007.56 × 9,323.50
  4. Step 4: Simplify right side
    15,947.50x = 205,187,485.66
  5. Step 5: Solve for x
    x = 205,187,485.66/15,947.50
  6. Step 6: Final answer
    x = 12,866.44

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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.