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Finding the Fourth Proportional to 24,605.44, 36,908.16 and 6,137.60

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Solution

The fourth proportional to 24,605.44, 36,908.16 and 6,137.60 is: 9,206.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,605.44 : 36,908.16 = 6,137.60 : x
  2. Step 2: Convert to fraction form
    24,605.44/36,908.16 = 6,137.60/x
  3. Step 3: Cross multiply
    24,605.44x = 36,908.16 × 6,137.60
  4. Step 4: Simplify right side
    24,605.44x = 226,527,522.82
  5. Step 5: Solve for x
    x = 226,527,522.82/24,605.44
  6. Step 6: Final answer
    x = 9,206.40

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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.