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Finding the Fourth Proportional to 14,581.74, 21,882.26 and 8,012.50

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Solution

The fourth proportional to 14,581.74, 21,882.26 and 8,012.50 is: 12,024.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,581.74 : 21,882.26 = 8,012.50 : x
  2. Step 2: Convert to fraction form
    14,581.74/21,882.26 = 8,012.50/x
  3. Step 3: Cross multiply
    14,581.74x = 21,882.26 × 8,012.50
  4. Step 4: Simplify right side
    14,581.74x = 175,331,608.25
  5. Step 5: Solve for x
    x = 175,331,608.25/14,581.74
  6. Step 6: Final answer
    x = 12,024.05

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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.