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Finding the Fourth Proportional to 19,523.68, 29,293.20 and 8,572

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Solution

The fourth proportional to 19,523.68, 29,293.20 and 8,572 is: 12,861.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,523.68 : 29,293.20 = 8,572 : x
  2. Step 2: Convert to fraction form
    19,523.68/29,293.20 = 8,572/x
  3. Step 3: Cross multiply
    19,523.68x = 29,293.20 × 8,572
  4. Step 4: Simplify right side
    19,523.68x = 251,101,310.40
  5. Step 5: Solve for x
    x = 251,101,310.40/19,523.68
  6. Step 6: Final answer
    x = 12,861.37

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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.