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Finding the Fourth Proportional to 20,199.41, 30,279.95 and 7,048.25

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Solution

The fourth proportional to 20,199.41, 30,279.95 and 7,048.25 is: 10,565.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,199.41 : 30,279.95 = 7,048.25 : x
  2. Step 2: Convert to fraction form
    20,199.41/30,279.95 = 7,048.25/x
  3. Step 3: Cross multiply
    20,199.41x = 30,279.95 × 7,048.25
  4. Step 4: Simplify right side
    20,199.41x = 213,420,715.67
  5. Step 5: Solve for x
    x = 213,420,715.67/20,199.41
  6. Step 6: Final answer
    x = 10,565.69

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