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Finding the Fourth Proportional to 27,870.75, 38,461.77 and 15,295.50

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Solution

The fourth proportional to 27,870.75, 38,461.77 and 15,295.50 is: 21,107.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,870.75 : 38,461.77 = 15,295.50 : x
  2. Step 2: Convert to fraction form
    27,870.75/38,461.77 = 15,295.50/x
  3. Step 3: Cross multiply
    27,870.75x = 38,461.77 × 15,295.50
  4. Step 4: Simplify right side
    27,870.75x = 588,292,003.04
  5. Step 5: Solve for x
    x = 588,292,003.04/27,870.75
  6. Step 6: Final answer
    x = 21,107.86

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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.