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Finding the Fourth Proportional to 28,247.57, 42,319.70 and 13,227.12

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Solution

The fourth proportional to 28,247.57, 42,319.70 and 13,227.12 is: 19,816.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,247.57 : 42,319.70 = 13,227.12 : x
  2. Step 2: Convert to fraction form
    28,247.57/42,319.70 = 13,227.12/x
  3. Step 3: Cross multiply
    28,247.57x = 42,319.70 × 13,227.12
  4. Step 4: Simplify right side
    28,247.57x = 559,767,684.13
  5. Step 5: Solve for x
    x = 559,767,684.13/28,247.57
  6. Step 6: Final answer
    x = 19,816.49

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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.