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Finding the Fourth Proportional to 24,788, 37,182 and 7,257.98

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Solution

The fourth proportional to 24,788, 37,182 and 7,257.98 is: 10,886.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,788 : 37,182 = 7,257.98 : x
  2. Step 2: Convert to fraction form
    24,788/37,182 = 7,257.98/x
  3. Step 3: Cross multiply
    24,788x = 37,182 × 7,257.98
  4. Step 4: Simplify right side
    24,788x = 269,866,212.36
  5. Step 5: Solve for x
    x = 269,866,212.36/24,788
  6. Step 6: Final answer
    x = 10,886.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.