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Finding the Fourth Proportional to 11,947.62, 17,925.54 and 7,021.38

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Solution

The fourth proportional to 11,947.62, 17,925.54 and 7,021.38 is: 10,534.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,947.62 : 17,925.54 = 7,021.38 : x
  2. Step 2: Convert to fraction form
    11,947.62/17,925.54 = 7,021.38/x
  3. Step 3: Cross multiply
    11,947.62x = 17,925.54 × 7,021.38
  4. Step 4: Simplify right side
    11,947.62x = 125,862,028.05
  5. Step 5: Solve for x
    x = 125,862,028.05/11,947.62
  6. Step 6: Final answer
    x = 10,534.49

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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.