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Finding the Fourth Proportional to 16,206, 24,309 and 5,262

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Solution

The fourth proportional to 16,206, 24,309 and 5,262 is: 7,893

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206 : 24,309 = 5,262 : x
  2. Step 2: Convert to fraction form
    16,206/24,309 = 5,262/x
  3. Step 3: Cross multiply
    16,206x = 24,309 × 5,262
  4. Step 4: Simplify right side
    16,206x = 127,913,958
  5. Step 5: Solve for x
    x = 127,913,958/16,206
  6. Step 6: Final answer
    x = 7,893

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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.