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Finding the Fourth Proportional to 20,774.04, 31,138.02 and 9,807

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Solution

The fourth proportional to 20,774.04, 31,138.02 and 9,807 is: 14,699.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,774.04 : 31,138.02 = 9,807 : x
  2. Step 2: Convert to fraction form
    20,774.04/31,138.02 = 9,807/x
  3. Step 3: Cross multiply
    20,774.04x = 31,138.02 × 9,807
  4. Step 4: Simplify right side
    20,774.04x = 305,370,562.14
  5. Step 5: Solve for x
    x = 305,370,562.14/20,774.04
  6. Step 6: Final answer
    x = 14,699.62

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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.