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Finding the Fourth Proportional to 24,636.36, 36,955.31 and 9,642.90

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Solution

The fourth proportional to 24,636.36, 36,955.31 and 9,642.90 is: 14,464.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,636.36 : 36,955.31 = 9,642.90 : x
  2. Step 2: Convert to fraction form
    24,636.36/36,955.31 = 9,642.90/x
  3. Step 3: Cross multiply
    24,636.36x = 36,955.31 × 9,642.90
  4. Step 4: Simplify right side
    24,636.36x = 356,356,310.58
  5. Step 5: Solve for x
    x = 356,356,310.58/24,636.36
  6. Step 6: Final answer
    x = 14,464.65

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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.