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Finding the Fourth Proportional to 26,626.40, 36,746 and 14,692.40

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Solution

The fourth proportional to 26,626.40, 36,746 and 14,692.40 is: 20,276.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,626.40 : 36,746 = 14,692.40 : x
  2. Step 2: Convert to fraction form
    26,626.40/36,746 = 14,692.40/x
  3. Step 3: Cross multiply
    26,626.40x = 36,746 × 14,692.40
  4. Step 4: Simplify right side
    26,626.40x = 539,886,930.40
  5. Step 5: Solve for x
    x = 539,886,930.40/26,626.40
  6. Step 6: Final answer
    x = 20,276.38

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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.