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Finding the Fourth Proportional to 27,686.85, 38,206.62 and 15,751.32

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Solution

The fourth proportional to 27,686.85, 38,206.62 and 15,751.32 is: 21,736.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,686.85 : 38,206.62 = 15,751.32 : x
  2. Step 2: Convert to fraction form
    27,686.85/38,206.62 = 15,751.32/x
  3. Step 3: Cross multiply
    27,686.85x = 38,206.62 × 15,751.32
  4. Step 4: Simplify right side
    27,686.85x = 601,804,697.74
  5. Step 5: Solve for x
    x = 601,804,697.74/27,686.85
  6. Step 6: Final answer
    x = 21,736.12

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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.