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Finding the Fourth Proportional to 14,102, 21,153 and 5,894

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Solution

The fourth proportional to 14,102, 21,153 and 5,894 is: 8,841

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102 : 21,153 = 5,894 : x
  2. Step 2: Convert to fraction form
    14,102/21,153 = 5,894/x
  3. Step 3: Cross multiply
    14,102x = 21,153 × 5,894
  4. Step 4: Simplify right side
    14,102x = 124,675,782
  5. Step 5: Solve for x
    x = 124,675,782/14,102
  6. Step 6: Final answer
    x = 8,841

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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.