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Finding the Fourth Proportional to 24,600, 33,948 and 14,664

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Solution

The fourth proportional to 24,600, 33,948 and 14,664 is: 20,236.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,600 : 33,948 = 14,664 : x
  2. Step 2: Convert to fraction form
    24,600/33,948 = 14,664/x
  3. Step 3: Cross multiply
    24,600x = 33,948 × 14,664
  4. Step 4: Simplify right side
    24,600x = 497,813,472
  5. Step 5: Solve for x
    x = 497,813,472/24,600
  6. Step 6: Final answer
    x = 20,236.32

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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.