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Finding the Fourth Proportional to 14,721.87, 22,081.59 and 6,822.75

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Solution

The fourth proportional to 14,721.87, 22,081.59 and 6,822.75 is: 10,233.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,721.87 : 22,081.59 = 6,822.75 : x
  2. Step 2: Convert to fraction form
    14,721.87/22,081.59 = 6,822.75/x
  3. Step 3: Cross multiply
    14,721.87x = 22,081.59 × 6,822.75
  4. Step 4: Simplify right side
    14,721.87x = 150,657,168.17
  5. Step 5: Solve for x
    x = 150,657,168.17/14,721.87
  6. Step 6: Final answer
    x = 10,233.56

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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.