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Finding the Fourth Proportional to 27,718.58, 41,572.40 and 9,948.75

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Solution

The fourth proportional to 27,718.58, 41,572.40 and 9,948.75 is: 14,921.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,718.58 : 41,572.40 = 9,948.75 : x
  2. Step 2: Convert to fraction form
    27,718.58/41,572.40 = 9,948.75/x
  3. Step 3: Cross multiply
    27,718.58x = 41,572.40 × 9,948.75
  4. Step 4: Simplify right side
    27,718.58x = 413,593,414.50
  5. Step 5: Solve for x
    x = 413,593,414.50/27,718.58
  6. Step 6: Final answer
    x = 14,921.16

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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.