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Finding the Fourth Proportional to 14,993.16, 20,692.38 and 8,705.53

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Solution

The fourth proportional to 14,993.16, 20,692.38 and 8,705.53 is: 12,014.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,993.16 : 20,692.38 = 8,705.53 : x
  2. Step 2: Convert to fraction form
    14,993.16/20,692.38 = 8,705.53/x
  3. Step 3: Cross multiply
    14,993.16x = 20,692.38 × 8,705.53
  4. Step 4: Simplify right side
    14,993.16x = 180,138,144.40
  5. Step 5: Solve for x
    x = 180,138,144.40/14,993.16
  6. Step 6: Final answer
    x = 12,014.69

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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.