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Finding the Fourth Proportional to 21,340.16, 31,947.90 and 14,232.32

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Solution

The fourth proportional to 21,340.16, 31,947.90 and 14,232.32 is: 21,306.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,340.16 : 31,947.90 = 14,232.32 : x
  2. Step 2: Convert to fraction form
    21,340.16/31,947.90 = 14,232.32/x
  3. Step 3: Cross multiply
    21,340.16x = 31,947.90 × 14,232.32
  4. Step 4: Simplify right side
    21,340.16x = 454,692,736.13
  5. Step 5: Solve for x
    x = 454,692,736.13/21,340.16
  6. Step 6: Final answer
    x = 21,306.90

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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.