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Finding the Fourth Proportional to 20,109.78, 30,174.72 and 9,024.39

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Solution

The fourth proportional to 20,109.78, 30,174.72 and 9,024.39 is: 13,541.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,109.78 : 30,174.72 = 9,024.39 : x
  2. Step 2: Convert to fraction form
    20,109.78/30,174.72 = 9,024.39/x
  3. Step 3: Cross multiply
    20,109.78x = 30,174.72 × 9,024.39
  4. Step 4: Simplify right side
    20,109.78x = 272,308,441.42
  5. Step 5: Solve for x
    x = 272,308,441.42/20,109.78
  6. Step 6: Final answer
    x = 13,541.10

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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.