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Finding the Fourth Proportional to 27,774.72, 38,337.16 and 15,844.56

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Solution

The fourth proportional to 27,774.72, 38,337.16 and 15,844.56 is: 21,870.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,774.72 : 38,337.16 = 15,844.56 : x
  2. Step 2: Convert to fraction form
    27,774.72/38,337.16 = 15,844.56/x
  3. Step 3: Cross multiply
    27,774.72x = 38,337.16 × 15,844.56
  4. Step 4: Simplify right side
    27,774.72x = 607,435,431.85
  5. Step 5: Solve for x
    x = 607,435,431.85/27,774.72
  6. Step 6: Final answer
    x = 21,870.08

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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.