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Finding the Fourth Proportional to 23,176.97, 34,765.46 and 9,316.25

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Solution

The fourth proportional to 23,176.97, 34,765.46 and 9,316.25 is: 13,974.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,176.97 : 34,765.46 = 9,316.25 : x
  2. Step 2: Convert to fraction form
    23,176.97/34,765.46 = 9,316.25/x
  3. Step 3: Cross multiply
    23,176.97x = 34,765.46 × 9,316.25
  4. Step 4: Simplify right side
    23,176.97x = 323,883,670.14
  5. Step 5: Solve for x
    x = 323,883,670.14/23,176.97
  6. Step 6: Final answer
    x = 13,974.38

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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.