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Finding the Fourth Proportional to 27,643.82, 38,149 and 15,068.58

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Solution

The fourth proportional to 27,643.82, 38,149 and 15,068.58 is: 20,794.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,643.82 : 38,149 = 15,068.58 : x
  2. Step 2: Convert to fraction form
    27,643.82/38,149 = 15,068.58/x
  3. Step 3: Cross multiply
    27,643.82x = 38,149 × 15,068.58
  4. Step 4: Simplify right side
    27,643.82x = 574,851,258.42
  5. Step 5: Solve for x
    x = 574,851,258.42/27,643.82
  6. Step 6: Final answer
    x = 20,794.93

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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.