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Finding the Fourth Proportional to 20,154.42, 30,241.86 and 9,058.86

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Solution

The fourth proportional to 20,154.42, 30,241.86 and 9,058.86 is: 13,592.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,154.42 : 30,241.86 = 9,058.86 : x
  2. Step 2: Convert to fraction form
    20,154.42/30,241.86 = 9,058.86/x
  3. Step 3: Cross multiply
    20,154.42x = 30,241.86 × 9,058.86
  4. Step 4: Simplify right side
    20,154.42x = 273,956,775.88
  5. Step 5: Solve for x
    x = 273,956,775.88/20,154.42
  6. Step 6: Final answer
    x = 13,592.89

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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.