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Finding the Fourth Proportional to 15,692.38, 21,655.49 and 8,522.28

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Solution

The fourth proportional to 15,692.38, 21,655.49 and 8,522.28 is: 11,760.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,692.38 : 21,655.49 = 8,522.28 : x
  2. Step 2: Convert to fraction form
    15,692.38/21,655.49 = 8,522.28/x
  3. Step 3: Cross multiply
    15,692.38x = 21,655.49 × 8,522.28
  4. Step 4: Simplify right side
    15,692.38x = 184,554,106.71
  5. Step 5: Solve for x
    x = 184,554,106.71/15,692.38
  6. Step 6: Final answer
    x = 11,760.75

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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.