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Finding the Fourth Proportional to 27,971.71, 38,592.25 and 15,870.20

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Solution

The fourth proportional to 27,971.71, 38,592.25 and 15,870.20 is: 21,895.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,971.71 : 38,592.25 = 15,870.20 : x
  2. Step 2: Convert to fraction form
    27,971.71/38,592.25 = 15,870.20/x
  3. Step 3: Cross multiply
    27,971.71x = 38,592.25 × 15,870.20
  4. Step 4: Simplify right side
    27,971.71x = 612,466,493.31
  5. Step 5: Solve for x
    x = 612,466,493.31/27,971.71
  6. Step 6: Final answer
    x = 21,895.93

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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.