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Finding the Fourth Proportional to 23,808.78, 35,716.82 and 7,166.61

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Solution

The fourth proportional to 23,808.78, 35,716.82 and 7,166.61 is: 10,751.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,808.78 : 35,716.82 = 7,166.61 : x
  2. Step 2: Convert to fraction form
    23,808.78/35,716.82 = 7,166.61/x
  3. Step 3: Cross multiply
    23,808.78x = 35,716.82 × 7,166.61
  4. Step 4: Simplify right side
    23,808.78x = 255,968,483.55
  5. Step 5: Solve for x
    x = 255,968,483.55/23,808.78
  6. Step 6: Final answer
    x = 10,751.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.