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Finding the Fourth Proportional to 14,342.96, 21,520.74 and 5,578.52

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Solution

The fourth proportional to 14,342.96, 21,520.74 and 5,578.52 is: 8,370.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,342.96 : 21,520.74 = 5,578.52 : x
  2. Step 2: Convert to fraction form
    14,342.96/21,520.74 = 5,578.52/x
  3. Step 3: Cross multiply
    14,342.96x = 21,520.74 × 5,578.52
  4. Step 4: Simplify right side
    14,342.96x = 120,053,878.50
  5. Step 5: Solve for x
    x = 120,053,878.50/14,342.96
  6. Step 6: Final answer
    x = 8,370.23

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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.