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Finding the Fourth Proportional to 12,616.22, 18,904.88 and 7,989.50

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Solution

The fourth proportional to 12,616.22, 18,904.88 and 7,989.50 is: 11,971.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,616.22 : 18,904.88 = 7,989.50 : x
  2. Step 2: Convert to fraction form
    12,616.22/18,904.88 = 7,989.50/x
  3. Step 3: Cross multiply
    12,616.22x = 18,904.88 × 7,989.50
  4. Step 4: Simplify right side
    12,616.22x = 151,040,538.76
  5. Step 5: Solve for x
    x = 151,040,538.76/12,616.22
  6. Step 6: Final answer
    x = 11,971.93

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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.