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Finding the Fourth Proportional to 24,257.84, 33,475.36 and 13,502.64

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Solution

The fourth proportional to 24,257.84, 33,475.36 and 13,502.64 is: 18,633.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,257.84 : 33,475.36 = 13,502.64 : x
  2. Step 2: Convert to fraction form
    24,257.84/33,475.36 = 13,502.64/x
  3. Step 3: Cross multiply
    24,257.84x = 33,475.36 × 13,502.64
  4. Step 4: Simplify right side
    24,257.84x = 452,005,734.95
  5. Step 5: Solve for x
    x = 452,005,734.95/24,257.84
  6. Step 6: Final answer
    x = 18,633.39

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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.