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Finding the Fourth Proportional to 11,947.84, 17,923.84 and 4,552.96

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Solution

The fourth proportional to 11,947.84, 17,923.84 and 4,552.96 is: 6,830.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,947.84 : 17,923.84 = 4,552.96 : x
  2. Step 2: Convert to fraction form
    11,947.84/17,923.84 = 4,552.96/x
  3. Step 3: Cross multiply
    11,947.84x = 17,923.84 × 4,552.96
  4. Step 4: Simplify right side
    11,947.84x = 81,606,526.57
  5. Step 5: Solve for x
    x = 81,606,526.57/11,947.84
  6. Step 6: Final answer
    x = 6,830.23

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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.