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Finding the Fourth Proportional to 27,774.16, 38,327.58 and 15,837.22

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Solution

The fourth proportional to 27,774.16, 38,327.58 and 15,837.22 is: 21,854.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,774.16 : 38,327.58 = 15,837.22 : x
  2. Step 2: Convert to fraction form
    27,774.16/38,327.58 = 15,837.22/x
  3. Step 3: Cross multiply
    27,774.16x = 38,327.58 × 15,837.22
  4. Step 4: Simplify right side
    27,774.16x = 607,002,316.53
  5. Step 5: Solve for x
    x = 607,002,316.53/27,774.16
  6. Step 6: Final answer
    x = 21,854.93

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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.