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Finding the Fourth Proportional to 14,692.50, 20,243.25 and 14,303.70

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Solution

The fourth proportional to 14,692.50, 20,243.25 and 14,303.70 is: 19,707.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,692.50 : 20,243.25 = 14,303.70 : x
  2. Step 2: Convert to fraction form
    14,692.50/20,243.25 = 14,303.70/x
  3. Step 3: Cross multiply
    14,692.50x = 20,243.25 × 14,303.70
  4. Step 4: Simplify right side
    14,692.50x = 289,553,375.03
  5. Step 5: Solve for x
    x = 289,553,375.03/14,692.50
  6. Step 6: Final answer
    x = 19,707.56

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1.5x scale

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.