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Finding the Fourth Proportional to 24,230, 36,345 and 7,814

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Solution

The fourth proportional to 24,230, 36,345 and 7,814 is: 11,721

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,230 : 36,345 = 7,814 : x
  2. Step 2: Convert to fraction form
    24,230/36,345 = 7,814/x
  3. Step 3: Cross multiply
    24,230x = 36,345 × 7,814
  4. Step 4: Simplify right side
    24,230x = 283,999,830
  5. Step 5: Solve for x
    x = 283,999,830/24,230
  6. Step 6: Final answer
    x = 11,721

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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.