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Finding the Fourth Proportional to 17,847.50, 24,631.04 and 9,890.47

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Solution

The fourth proportional to 17,847.50, 24,631.04 and 9,890.47 is: 13,649.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,847.50 : 24,631.04 = 9,890.47 : x
  2. Step 2: Convert to fraction form
    17,847.50/24,631.04 = 9,890.47/x
  3. Step 3: Cross multiply
    17,847.50x = 24,631.04 × 9,890.47
  4. Step 4: Simplify right side
    17,847.50x = 243,612,451.16
  5. Step 5: Solve for x
    x = 243,612,451.16/17,847.50
  6. Step 6: Final answer
    x = 13,649.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.