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Finding the Fourth Proportional to 24,177.92, 36,267.30 and 6,647.64

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Solution

The fourth proportional to 24,177.92, 36,267.30 and 6,647.64 is: 9,971.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,177.92 : 36,267.30 = 6,647.64 : x
  2. Step 2: Convert to fraction form
    24,177.92/36,267.30 = 6,647.64/x
  3. Step 3: Cross multiply
    24,177.92x = 36,267.30 × 6,647.64
  4. Step 4: Simplify right side
    24,177.92x = 241,091,954.17
  5. Step 5: Solve for x
    x = 241,091,954.17/24,177.92
  6. Step 6: Final answer
    x = 9,971.58

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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.