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Finding the Fourth Proportional to 15,911.64, 23,860.91 and 6,906.33

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Solution

The fourth proportional to 15,911.64, 23,860.91 and 6,906.33 is: 10,356.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,911.64 : 23,860.91 = 6,906.33 : x
  2. Step 2: Convert to fraction form
    15,911.64/23,860.91 = 6,906.33/x
  3. Step 3: Cross multiply
    15,911.64x = 23,860.91 × 6,906.33
  4. Step 4: Simplify right side
    15,911.64x = 164,791,284.03
  5. Step 5: Solve for x
    x = 164,791,284.03/15,911.64
  6. Step 6: Final answer
    x = 10,356.65

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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.