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Finding the Fourth Proportional to 20,986.86, 31,464.87 and 9,887.29

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Solution

The fourth proportional to 20,986.86, 31,464.87 and 9,887.29 is: 14,823.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,986.86 : 31,464.87 = 9,887.29 : x
  2. Step 2: Convert to fraction form
    20,986.86/31,464.87 = 9,887.29/x
  3. Step 3: Cross multiply
    20,986.86x = 31,464.87 × 9,887.29
  4. Step 4: Simplify right side
    20,986.86x = 311,102,294.50
  5. Step 5: Solve for x
    x = 311,102,294.50/20,986.86
  6. Step 6: Final answer
    x = 14,823.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.