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Finding the Fourth Proportional to 14,237.24, 21,341 and 4,874.50

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Solution

The fourth proportional to 14,237.24, 21,341 and 4,874.50 is: 7,306.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,237.24 : 21,341 = 4,874.50 : x
  2. Step 2: Convert to fraction form
    14,237.24/21,341 = 4,874.50/x
  3. Step 3: Cross multiply
    14,237.24x = 21,341 × 4,874.50
  4. Step 4: Simplify right side
    14,237.24x = 104,026,704.50
  5. Step 5: Solve for x
    x = 104,026,704.50/14,237.24
  6. Step 6: Final answer
    x = 7,306.66

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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.