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Finding the Fourth Proportional to 17,692.18, 26,540 and 6,596.28

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Solution

The fourth proportional to 17,692.18, 26,540 and 6,596.28 is: 9,895.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,692.18 : 26,540 = 6,596.28 : x
  2. Step 2: Convert to fraction form
    17,692.18/26,540 = 6,596.28/x
  3. Step 3: Cross multiply
    17,692.18x = 26,540 × 6,596.28
  4. Step 4: Simplify right side
    17,692.18x = 175,065,271.20
  5. Step 5: Solve for x
    x = 175,065,271.20/17,692.18
  6. Step 6: Final answer
    x = 9,895.07

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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.