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Finding the Fourth Proportional to 27,692.26, 38,215.12 and 15,117

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Solution

The fourth proportional to 27,692.26, 38,215.12 and 15,117 is: 20,861.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,692.26 : 38,215.12 = 15,117 : x
  2. Step 2: Convert to fraction form
    27,692.26/38,215.12 = 15,117/x
  3. Step 3: Cross multiply
    27,692.26x = 38,215.12 × 15,117
  4. Step 4: Simplify right side
    27,692.26x = 577,697,969.04
  5. Step 5: Solve for x
    x = 577,697,969.04/27,692.26
  6. Step 6: Final answer
    x = 20,861.35

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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.