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Finding the Fourth Proportional to 27,959.82, 41,914.62 and 10,417.74

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Solution

The fourth proportional to 27,959.82, 41,914.62 and 10,417.74 is: 15,617.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,959.82 : 41,914.62 = 10,417.74 : x
  2. Step 2: Convert to fraction form
    27,959.82/41,914.62 = 10,417.74/x
  3. Step 3: Cross multiply
    27,959.82x = 41,914.62 × 10,417.74
  4. Step 4: Simplify right side
    27,959.82x = 436,655,613.36
  5. Step 5: Solve for x
    x = 436,655,613.36/27,959.82
  6. Step 6: Final answer
    x = 15,617.25

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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.