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Finding the Fourth Proportional to 17,320.23, 23,902.02 and 9,766.71

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Solution

The fourth proportional to 17,320.23, 23,902.02 and 9,766.71 is: 13,478.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,320.23 : 23,902.02 = 9,766.71 : x
  2. Step 2: Convert to fraction form
    17,320.23/23,902.02 = 9,766.71/x
  3. Step 3: Cross multiply
    17,320.23x = 23,902.02 × 9,766.71
  4. Step 4: Simplify right side
    17,320.23x = 233,444,097.75
  5. Step 5: Solve for x
    x = 233,444,097.75/17,320.23
  6. Step 6: Final answer
    x = 13,478.12

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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.