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Finding the Fourth Proportional to 24,232, 36,348 and 7,816

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Solution

The fourth proportional to 24,232, 36,348 and 7,816 is: 11,724

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,232 : 36,348 = 7,816 : x
  2. Step 2: Convert to fraction form
    24,232/36,348 = 7,816/x
  3. Step 3: Cross multiply
    24,232x = 36,348 × 7,816
  4. Step 4: Simplify right side
    24,232x = 284,095,968
  5. Step 5: Solve for x
    x = 284,095,968/24,232
  6. Step 6: Final answer
    x = 11,724

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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.