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Finding the Fourth Proportional to 24,507.56, 36,727.24 and 12,797.40

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Solution

The fourth proportional to 24,507.56, 36,727.24 and 12,797.40 is: 19,178.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,507.56 : 36,727.24 = 12,797.40 : x
  2. Step 2: Convert to fraction form
    24,507.56/36,727.24 = 12,797.40/x
  3. Step 3: Cross multiply
    24,507.56x = 36,727.24 × 12,797.40
  4. Step 4: Simplify right side
    24,507.56x = 470,013,181.18
  5. Step 5: Solve for x
    x = 470,013,181.18/24,507.56
  6. Step 6: Final answer
    x = 19,178.29

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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.