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Finding the Fourth Proportional to 24,006, 36,008.88 and 6,477.60

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Solution

The fourth proportional to 24,006, 36,008.88 and 6,477.60 is: 9,716.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,006 : 36,008.88 = 6,477.60 : x
  2. Step 2: Convert to fraction form
    24,006/36,008.88 = 6,477.60/x
  3. Step 3: Cross multiply
    24,006x = 36,008.88 × 6,477.60
  4. Step 4: Simplify right side
    24,006x = 233,251,121.09
  5. Step 5: Solve for x
    x = 233,251,121.09/24,006
  6. Step 6: Final answer
    x = 9,716.37

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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.