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Finding the Fourth Proportional to 14,024.40, 21,034.98 and 4,162.65

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Solution

The fourth proportional to 14,024.40, 21,034.98 and 4,162.65 is: 6,243.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,024.40 : 21,034.98 = 4,162.65 : x
  2. Step 2: Convert to fraction form
    14,024.40/21,034.98 = 4,162.65/x
  3. Step 3: Cross multiply
    14,024.40x = 21,034.98 × 4,162.65
  4. Step 4: Simplify right side
    14,024.40x = 87,561,259.50
  5. Step 5: Solve for x
    x = 87,561,259.50/14,024.40
  6. Step 6: Final answer
    x = 6,243.49

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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.