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Finding the Fourth Proportional to 24,189.15, 36,276.82 and 9,394.90

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Solution

The fourth proportional to 24,189.15, 36,276.82 and 9,394.90 is: 14,089.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,189.15 : 36,276.82 = 9,394.90 : x
  2. Step 2: Convert to fraction form
    24,189.15/36,276.82 = 9,394.90/x
  3. Step 3: Cross multiply
    24,189.15x = 36,276.82 × 9,394.90
  4. Step 4: Simplify right side
    24,189.15x = 340,817,096.22
  5. Step 5: Solve for x
    x = 340,817,096.22/24,189.15
  6. Step 6: Final answer
    x = 14,089.67

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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.