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Finding the Fourth Proportional to 20,898.46, 31,346.16 and 9,807.67

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Solution

The fourth proportional to 20,898.46, 31,346.16 and 9,807.67 is: 14,710.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,898.46 : 31,346.16 = 9,807.67 : x
  2. Step 2: Convert to fraction form
    20,898.46/31,346.16 = 9,807.67/x
  3. Step 3: Cross multiply
    20,898.46x = 31,346.16 × 9,807.67
  4. Step 4: Simplify right side
    20,898.46x = 307,432,793.05
  5. Step 5: Solve for x
    x = 307,432,793.05/20,898.46
  6. Step 6: Final answer
    x = 14,710.79

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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.