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Finding the Fourth Proportional to 17,486.42, 26,223.95 and 5,796.50

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Solution

The fourth proportional to 17,486.42, 26,223.95 and 5,796.50 is: 8,692.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,486.42 : 26,223.95 = 5,796.50 : x
  2. Step 2: Convert to fraction form
    17,486.42/26,223.95 = 5,796.50/x
  3. Step 3: Cross multiply
    17,486.42x = 26,223.95 × 5,796.50
  4. Step 4: Simplify right side
    17,486.42x = 152,007,126.18
  5. Step 5: Solve for x
    x = 152,007,126.18/17,486.42
  6. Step 6: Final answer
    x = 8,692.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.