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Finding the Fourth Proportional to 16,351, 24,530.34 and 5,407

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Solution

The fourth proportional to 16,351, 24,530.34 and 5,407 is: 8,111.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,351 : 24,530.34 = 5,407 : x
  2. Step 2: Convert to fraction form
    16,351/24,530.34 = 5,407/x
  3. Step 3: Cross multiply
    16,351x = 24,530.34 × 5,407
  4. Step 4: Simplify right side
    16,351x = 132,635,548.38
  5. Step 5: Solve for x
    x = 132,635,548.38/16,351
  6. Step 6: Final answer
    x = 8,111.77

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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.