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Finding the Fourth Proportional to 17,947.24, 26,913.57 and 7,816.16

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Solution

The fourth proportional to 17,947.24, 26,913.57 and 7,816.16 is: 11,721.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,947.24 : 26,913.57 = 7,816.16 : x
  2. Step 2: Convert to fraction form
    17,947.24/26,913.57 = 7,816.16/x
  3. Step 3: Cross multiply
    17,947.24x = 26,913.57 × 7,816.16
  4. Step 4: Simplify right side
    17,947.24x = 210,360,807.26
  5. Step 5: Solve for x
    x = 210,360,807.26/17,947.24
  6. Step 6: Final answer
    x = 11,721.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.