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Finding the Fourth Proportional to 23,097.75, 34,643.43 and 8,304.54

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Solution

The fourth proportional to 23,097.75, 34,643.43 and 8,304.54 is: 12,455.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,097.75 : 34,643.43 = 8,304.54 : x
  2. Step 2: Convert to fraction form
    23,097.75/34,643.43 = 8,304.54/x
  3. Step 3: Cross multiply
    23,097.75x = 34,643.43 × 8,304.54
  4. Step 4: Simplify right side
    23,097.75x = 287,697,750.17
  5. Step 5: Solve for x
    x = 287,697,750.17/23,097.75
  6. Step 6: Final answer
    x = 12,455.66

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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.