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Finding the Fourth Proportional to 24,435, 33,720.48 and 13,257

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Solution

The fourth proportional to 24,435, 33,720.48 and 13,257 is: 18,294.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,435 : 33,720.48 = 13,257 : x
  2. Step 2: Convert to fraction form
    24,435/33,720.48 = 13,257/x
  3. Step 3: Cross multiply
    24,435x = 33,720.48 × 13,257
  4. Step 4: Simplify right side
    24,435x = 447,032,403.36
  5. Step 5: Solve for x
    x = 447,032,403.36/24,435
  6. Step 6: Final answer
    x = 18,294.76

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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.