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Finding the Fourth Proportional to 24,606, 36,924.12 and 12,927.60

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Solution

The fourth proportional to 24,606, 36,924.12 and 12,927.60 is: 19,399.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,606 : 36,924.12 = 12,927.60 : x
  2. Step 2: Convert to fraction form
    24,606/36,924.12 = 12,927.60/x
  3. Step 3: Cross multiply
    24,606x = 36,924.12 × 12,927.60
  4. Step 4: Simplify right side
    24,606x = 477,340,253.71
  5. Step 5: Solve for x
    x = 477,340,253.71/24,606
  6. Step 6: Final answer
    x = 19,399.34

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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.