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Finding the Fourth Proportional to 28,542.24, 42,808.50 and 11,012.22

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Solution

The fourth proportional to 28,542.24, 42,808.50 and 11,012.22 is: 16,516.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,542.24 : 42,808.50 = 11,012.22 : x
  2. Step 2: Convert to fraction form
    28,542.24/42,808.50 = 11,012.22/x
  3. Step 3: Cross multiply
    28,542.24x = 42,808.50 × 11,012.22
  4. Step 4: Simplify right side
    28,542.24x = 471,416,619.87
  5. Step 5: Solve for x
    x = 471,416,619.87/28,542.24
  6. Step 6: Final answer
    x = 16,516.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.