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Finding the Fourth Proportional to 24,439, 33,725.82 and 13,261

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Solution

The fourth proportional to 24,439, 33,725.82 and 13,261 is: 18,300.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,439 : 33,725.82 = 13,261 : x
  2. Step 2: Convert to fraction form
    24,439/33,725.82 = 13,261/x
  3. Step 3: Cross multiply
    24,439x = 33,725.82 × 13,261
  4. Step 4: Simplify right side
    24,439x = 447,238,099.02
  5. Step 5: Solve for x
    x = 447,238,099.02/24,439
  6. Step 6: Final answer
    x = 18,300.18

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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.