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Finding the Fourth Proportional to 20,109.77, 30,174.71 and 9,024.38

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Solution

The fourth proportional to 20,109.77, 30,174.71 and 9,024.38 is: 13,541.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,109.77 : 30,174.71 = 9,024.38 : x
  2. Step 2: Convert to fraction form
    20,109.77/30,174.71 = 9,024.38/x
  3. Step 3: Cross multiply
    20,109.77x = 30,174.71 × 9,024.38
  4. Step 4: Simplify right side
    20,109.77x = 272,308,049.43
  5. Step 5: Solve for x
    x = 272,308,049.43/20,109.77
  6. Step 6: Final answer
    x = 13,541.08

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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.