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Finding the Fourth Proportional to 24,774, 34,188.12 and 14,838

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Solution

The fourth proportional to 24,774, 34,188.12 and 14,838 is: 20,476.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,774 : 34,188.12 = 14,838 : x
  2. Step 2: Convert to fraction form
    24,774/34,188.12 = 14,838/x
  3. Step 3: Cross multiply
    24,774x = 34,188.12 × 14,838
  4. Step 4: Simplify right side
    24,774x = 507,283,324.56
  5. Step 5: Solve for x
    x = 507,283,324.56/24,774
  6. Step 6: Final answer
    x = 20,476.44

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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.