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Finding the Fourth Proportional to 23,753.78, 35,620.64 and 7,116.17

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Solution

The fourth proportional to 23,753.78, 35,620.64 and 7,116.17 is: 10,671.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,753.78 : 35,620.64 = 7,116.17 : x
  2. Step 2: Convert to fraction form
    23,753.78/35,620.64 = 7,116.17/x
  3. Step 3: Cross multiply
    23,753.78x = 35,620.64 × 7,116.17
  4. Step 4: Simplify right side
    23,753.78x = 253,482,494.17
  5. Step 5: Solve for x
    x = 253,482,494.17/23,753.78
  6. Step 6: Final answer
    x = 10,671.25

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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.