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Finding the Fourth Proportional to 21,865.28, 32,822.24 and 11,332.48

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Solution

The fourth proportional to 21,865.28, 32,822.24 and 11,332.48 is: 17,011.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,865.28 : 32,822.24 = 11,332.48 : x
  2. Step 2: Convert to fraction form
    21,865.28/32,822.24 = 11,332.48/x
  3. Step 3: Cross multiply
    21,865.28x = 32,822.24 × 11,332.48
  4. Step 4: Simplify right side
    21,865.28x = 371,957,378.36
  5. Step 5: Solve for x
    x = 371,957,378.36/21,865.28
  6. Step 6: Final answer
    x = 17,011.32

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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.