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Finding the Fourth Proportional to 14,131, 21,200.28 and 4,897

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Solution

The fourth proportional to 14,131, 21,200.28 and 4,897 is: 7,346.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,131 : 21,200.28 = 4,897 : x
  2. Step 2: Convert to fraction form
    14,131/21,200.28 = 4,897/x
  3. Step 3: Cross multiply
    14,131x = 21,200.28 × 4,897
  4. Step 4: Simplify right side
    14,131x = 103,817,771.16
  5. Step 5: Solve for x
    x = 103,817,771.16/14,131
  6. Step 6: Final answer
    x = 7,346.81

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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.