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Finding the Fourth Proportional to 20,078.34, 30,135.88 and 10,224.42

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Solution

The fourth proportional to 20,078.34, 30,135.88 and 10,224.42 is: 15,345.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,078.34 : 30,135.88 = 10,224.42 : x
  2. Step 2: Convert to fraction form
    20,078.34/30,135.88 = 10,224.42/x
  3. Step 3: Cross multiply
    20,078.34x = 30,135.88 × 10,224.42
  4. Step 4: Simplify right side
    20,078.34x = 308,121,894.19
  5. Step 5: Solve for x
    x = 308,121,894.19/20,078.34
  6. Step 6: Final answer
    x = 15,345.98

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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.