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Finding the Fourth Proportional to 27,691.71, 38,214.08 and 15,754.80

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Solution

The fourth proportional to 27,691.71, 38,214.08 and 15,754.80 is: 21,741.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,691.71 : 38,214.08 = 15,754.80 : x
  2. Step 2: Convert to fraction form
    27,691.71/38,214.08 = 15,754.80/x
  3. Step 3: Cross multiply
    27,691.71x = 38,214.08 × 15,754.80
  4. Step 4: Simplify right side
    27,691.71x = 602,054,965.51
  5. Step 5: Solve for x
    x = 602,054,965.51/27,691.71
  6. Step 6: Final answer
    x = 21,741.34

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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.