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Finding the Fourth Proportional to 14,659.64, 20,226.78 and 8,692.77

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Solution

The fourth proportional to 14,659.64, 20,226.78 and 8,692.77 is: 11,993.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,659.64 : 20,226.78 = 8,692.77 : x
  2. Step 2: Convert to fraction form
    14,659.64/20,226.78 = 8,692.77/x
  3. Step 3: Cross multiply
    14,659.64x = 20,226.78 × 8,692.77
  4. Step 4: Simplify right side
    14,659.64x = 175,826,746.38
  5. Step 5: Solve for x
    x = 175,826,746.38/14,659.64
  6. Step 6: Final answer
    x = 11,993.93

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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.