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Finding the Fourth Proportional to 21,509.62, 32,264.38 and 14,112.31

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Solution

The fourth proportional to 21,509.62, 32,264.38 and 14,112.31 is: 21,168.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,509.62 : 32,264.38 = 14,112.31 : x
  2. Step 2: Convert to fraction form
    21,509.62/32,264.38 = 14,112.31/x
  3. Step 3: Cross multiply
    21,509.62x = 32,264.38 × 14,112.31
  4. Step 4: Simplify right side
    21,509.62x = 455,324,932.52
  5. Step 5: Solve for x
    x = 455,324,932.52/21,509.62
  6. Step 6: Final answer
    x = 21,168.43

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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.