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Finding the Fourth Proportional to 27,686.34, 38,206.08 and 15,111.09

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Solution

The fourth proportional to 27,686.34, 38,206.08 and 15,111.09 is: 20,852.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,686.34 : 38,206.08 = 15,111.09 : x
  2. Step 2: Convert to fraction form
    27,686.34/38,206.08 = 15,111.09/x
  3. Step 3: Cross multiply
    27,686.34x = 38,206.08 × 15,111.09
  4. Step 4: Simplify right side
    27,686.34x = 577,335,513.43
  5. Step 5: Solve for x
    x = 577,335,513.43/27,686.34
  6. Step 6: Final answer
    x = 20,852.72

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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.