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Finding the Fourth Proportional to 10,984, 16,469.07 and 9,318.71

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Solution

The fourth proportional to 10,984, 16,469.07 and 9,318.71 is: 13,972.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,984 : 16,469.07 = 9,318.71 : x
  2. Step 2: Convert to fraction form
    10,984/16,469.07 = 9,318.71/x
  3. Step 3: Cross multiply
    10,984x = 16,469.07 × 9,318.71
  4. Step 4: Simplify right side
    10,984x = 153,470,404.95
  5. Step 5: Solve for x
    x = 153,470,404.95/10,984
  6. Step 6: Final answer
    x = 13,972.18

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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.