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Finding the Fourth Proportional to 20,442.48, 30,666.24 and 7,296.24

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Solution

The fourth proportional to 20,442.48, 30,666.24 and 7,296.24 is: 10,945.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,442.48 : 30,666.24 = 7,296.24 : x
  2. Step 2: Convert to fraction form
    20,442.48/30,666.24 = 7,296.24/x
  3. Step 3: Cross multiply
    20,442.48x = 30,666.24 × 7,296.24
  4. Step 4: Simplify right side
    20,442.48x = 223,748,246.94
  5. Step 5: Solve for x
    x = 223,748,246.94/20,442.48
  6. Step 6: Final answer
    x = 10,945.26

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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.