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Finding the Fourth Proportional to 27,876.68, 41,815.14 and 9,421.64

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Solution

The fourth proportional to 27,876.68, 41,815.14 and 9,421.64 is: 14,132.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,876.68 : 41,815.14 = 9,421.64 : x
  2. Step 2: Convert to fraction form
    27,876.68/41,815.14 = 9,421.64/x
  3. Step 3: Cross multiply
    27,876.68x = 41,815.14 × 9,421.64
  4. Step 4: Simplify right side
    27,876.68x = 393,967,195.63
  5. Step 5: Solve for x
    x = 393,967,195.63/27,876.68
  6. Step 6: Final answer
    x = 14,132.50

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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.