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Finding the Fourth Proportional to 16,216, 24,324 and 3,904

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Solution

The fourth proportional to 16,216, 24,324 and 3,904 is: 5,856

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,216 : 24,324 = 3,904 : x
  2. Step 2: Convert to fraction form
    16,216/24,324 = 3,904/x
  3. Step 3: Cross multiply
    16,216x = 24,324 × 3,904
  4. Step 4: Simplify right side
    16,216x = 94,960,896
  5. Step 5: Solve for x
    x = 94,960,896/16,216
  6. Step 6: Final answer
    x = 5,856

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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.