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Finding the Fourth Proportional to 20,438.48, 30,663.88 and 7,291.86

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Solution

The fourth proportional to 20,438.48, 30,663.88 and 7,291.86 is: 10,939.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,438.48 : 30,663.88 = 7,291.86 : x
  2. Step 2: Convert to fraction form
    20,438.48/30,663.88 = 7,291.86/x
  3. Step 3: Cross multiply
    20,438.48x = 30,663.88 × 7,291.86
  4. Step 4: Simplify right side
    20,438.48x = 223,596,720.02
  5. Step 5: Solve for x
    x = 223,596,720.02/20,438.48
  6. Step 6: Final answer
    x = 10,939.99

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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.