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Finding the Fourth Proportional to 27,804.50, 38,370.84 and 15,867.60

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Solution

The fourth proportional to 27,804.50, 38,370.84 and 15,867.60 is: 21,897.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,804.50 : 38,370.84 = 15,867.60 : x
  2. Step 2: Convert to fraction form
    27,804.50/38,370.84 = 15,867.60/x
  3. Step 3: Cross multiply
    27,804.50x = 38,370.84 × 15,867.60
  4. Step 4: Simplify right side
    27,804.50x = 608,853,140.78
  5. Step 5: Solve for x
    x = 608,853,140.78/27,804.50
  6. Step 6: Final answer
    x = 21,897.65

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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.