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Finding the Fourth Proportional to 15,322.26, 22,971.72 and 7,922.00

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Solution

The fourth proportional to 15,322.26, 22,971.72 and 7,922.00 is: 11,876.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,322.26 : 22,971.72 = 7,922.00 : x
  2. Step 2: Convert to fraction form
    15,322.26/22,971.72 = 7,922.00/x
  3. Step 3: Cross multiply
    15,322.26x = 22,971.72 × 7,922.00
  4. Step 4: Simplify right side
    15,322.26x = 181,982,008.42
  5. Step 5: Solve for x
    x = 181,982,008.42/15,322.26
  6. Step 6: Final answer
    x = 11,876.97

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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.