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Finding the Fourth Proportional to 16,316.50, 22,516.77 and 9,692.50

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Solution

The fourth proportional to 16,316.50, 22,516.77 and 9,692.50 is: 13,375.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,316.50 : 22,516.77 = 9,692.50 : x
  2. Step 2: Convert to fraction form
    16,316.50/22,516.77 = 9,692.50/x
  3. Step 3: Cross multiply
    16,316.50x = 22,516.77 × 9,692.50
  4. Step 4: Simplify right side
    16,316.50x = 218,243,793.23
  5. Step 5: Solve for x
    x = 218,243,793.23/16,316.50
  6. Step 6: Final answer
    x = 13,375.65

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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.