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Finding the Fourth Proportional to 14,947.77, 20,627.76 and 8,233.29

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Solution

The fourth proportional to 14,947.77, 20,627.76 and 8,233.29 is: 11,361.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,947.77 : 20,627.76 = 8,233.29 : x
  2. Step 2: Convert to fraction form
    14,947.77/20,627.76 = 8,233.29/x
  3. Step 3: Cross multiply
    14,947.77x = 20,627.76 × 8,233.29
  4. Step 4: Simplify right side
    14,947.77x = 169,834,330.13
  5. Step 5: Solve for x
    x = 169,834,330.13/14,947.77
  6. Step 6: Final answer
    x = 11,361.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.