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Finding the Fourth Proportional to 16,290, 24,435 and 5,346

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Solution

The fourth proportional to 16,290, 24,435 and 5,346 is: 8,019

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,290 : 24,435 = 5,346 : x
  2. Step 2: Convert to fraction form
    16,290/24,435 = 5,346/x
  3. Step 3: Cross multiply
    16,290x = 24,435 × 5,346
  4. Step 4: Simplify right side
    16,290x = 130,629,510
  5. Step 5: Solve for x
    x = 130,629,510/16,290
  6. Step 6: Final answer
    x = 8,019

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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.