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Finding the Fourth Proportional to 27,695.68, 38,218.26 and 15,120.40

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Solution

The fourth proportional to 27,695.68, 38,218.26 and 15,120.40 is: 20,865.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,695.68 : 38,218.26 = 15,120.40 : x
  2. Step 2: Convert to fraction form
    27,695.68/38,218.26 = 15,120.40/x
  3. Step 3: Cross multiply
    27,695.68x = 38,218.26 × 15,120.40
  4. Step 4: Simplify right side
    27,695.68x = 577,875,378.50
  5. Step 5: Solve for x
    x = 577,875,378.50/27,695.68
  6. Step 6: Final answer
    x = 20,865.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.