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Finding the Fourth Proportional to 23,677.52, 35,516.10 and 7,883.72

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Solution

The fourth proportional to 23,677.52, 35,516.10 and 7,883.72 is: 11,825.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,677.52 : 35,516.10 = 7,883.72 : x
  2. Step 2: Convert to fraction form
    23,677.52/35,516.10 = 7,883.72/x
  3. Step 3: Cross multiply
    23,677.52x = 35,516.10 × 7,883.72
  4. Step 4: Simplify right side
    23,677.52x = 279,998,987.89
  5. Step 5: Solve for x
    x = 279,998,987.89/23,677.52
  6. Step 6: Final answer
    x = 11,825.52

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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.