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Finding the Fourth Proportional to 27,654.71, 41,486.16 and 8,928.52

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Solution

The fourth proportional to 27,654.71, 41,486.16 and 8,928.52 is: 13,394.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,654.71 : 41,486.16 = 8,928.52 : x
  2. Step 2: Convert to fraction form
    27,654.71/41,486.16 = 8,928.52/x
  3. Step 3: Cross multiply
    27,654.71x = 41,486.16 × 8,928.52
  4. Step 4: Simplify right side
    27,654.71x = 370,409,939.05
  5. Step 5: Solve for x
    x = 370,409,939.05/27,654.71
  6. Step 6: Final answer
    x = 13,394.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.