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Finding the Fourth Proportional to 20,115.90, 30,174.66 and 9,580.50

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Solution

The fourth proportional to 20,115.90, 30,174.66 and 9,580.50 is: 14,371.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,115.90 : 30,174.66 = 9,580.50 : x
  2. Step 2: Convert to fraction form
    20,115.90/30,174.66 = 9,580.50/x
  3. Step 3: Cross multiply
    20,115.90x = 30,174.66 × 9,580.50
  4. Step 4: Simplify right side
    20,115.90x = 289,088,330.13
  5. Step 5: Solve for x
    x = 289,088,330.13/20,115.90
  6. Step 6: Final answer
    x = 14,371.14

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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.