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Finding the Fourth Proportional to 16,254, 24,381 and 5,310

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Solution

The fourth proportional to 16,254, 24,381 and 5,310 is: 7,965

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,254 : 24,381 = 5,310 : x
  2. Step 2: Convert to fraction form
    16,254/24,381 = 5,310/x
  3. Step 3: Cross multiply
    16,254x = 24,381 × 5,310
  4. Step 4: Simplify right side
    16,254x = 129,463,110
  5. Step 5: Solve for x
    x = 129,463,110/16,254
  6. Step 6: Final answer
    x = 7,965

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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.