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Finding the Fourth Proportional to 24,616.40, 36,924.60 and 10,762.16

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Solution

The fourth proportional to 24,616.40, 36,924.60 and 10,762.16 is: 16,143.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,616.40 : 36,924.60 = 10,762.16 : x
  2. Step 2: Convert to fraction form
    24,616.40/36,924.60 = 10,762.16/x
  3. Step 3: Cross multiply
    24,616.40x = 36,924.60 × 10,762.16
  4. Step 4: Simplify right side
    24,616.40x = 397,388,453.14
  5. Step 5: Solve for x
    x = 397,388,453.14/24,616.40
  6. Step 6: Final answer
    x = 16,143.24

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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.