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Finding the Fourth Proportional to 24,302, 36,453 and 7,886

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Solution

The fourth proportional to 24,302, 36,453 and 7,886 is: 11,829

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,302 : 36,453 = 7,886 : x
  2. Step 2: Convert to fraction form
    24,302/36,453 = 7,886/x
  3. Step 3: Cross multiply
    24,302x = 36,453 × 7,886
  4. Step 4: Simplify right side
    24,302x = 287,468,358
  5. Step 5: Solve for x
    x = 287,468,358/24,302
  6. Step 6: Final answer
    x = 11,829

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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.