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Finding the Fourth Proportional to 27,692.90, 38,214.06 and 15,756.38

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Solution

The fourth proportional to 27,692.90, 38,214.06 and 15,756.38 is: 21,742.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,692.90 : 38,214.06 = 15,756.38 : x
  2. Step 2: Convert to fraction form
    27,692.90/38,214.06 = 15,756.38/x
  3. Step 3: Cross multiply
    27,692.90x = 38,214.06 × 15,756.38
  4. Step 4: Simplify right side
    27,692.90x = 602,115,250.70
  5. Step 5: Solve for x
    x = 602,115,250.70/27,692.90
  6. Step 6: Final answer
    x = 21,742.59

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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.