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Finding the Fourth Proportional to 27,692.18, 38,213.88 and 15,754.40

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Solution

The fourth proportional to 27,692.18, 38,213.88 and 15,754.40 is: 21,740.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,692.18 : 38,213.88 = 15,754.40 : x
  2. Step 2: Convert to fraction form
    27,692.18/38,213.88 = 15,754.40/x
  3. Step 3: Cross multiply
    27,692.18x = 38,213.88 × 15,754.40
  4. Step 4: Simplify right side
    27,692.18x = 602,036,751.07
  5. Step 5: Solve for x
    x = 602,036,751.07/27,692.18
  6. Step 6: Final answer
    x = 21,740.32

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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.