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Finding the Fourth Proportional to 24,437, 33,723.24 and 13,259

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Solution

The fourth proportional to 24,437, 33,723.24 and 13,259 is: 18,297.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,437 : 33,723.24 = 13,259 : x
  2. Step 2: Convert to fraction form
    24,437/33,723.24 = 13,259/x
  3. Step 3: Cross multiply
    24,437x = 33,723.24 × 13,259
  4. Step 4: Simplify right side
    24,437x = 447,136,439.16
  5. Step 5: Solve for x
    x = 447,136,439.16/24,437
  6. Step 6: Final answer
    x = 18,297.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.