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Finding the Fourth Proportional to 16,420.91, 24,634.88 and 7,531.97

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Solution

The fourth proportional to 16,420.91, 24,634.88 and 7,531.97 is: 11,299.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,420.91 : 24,634.88 = 7,531.97 : x
  2. Step 2: Convert to fraction form
    16,420.91/24,634.88 = 7,531.97/x
  3. Step 3: Cross multiply
    16,420.91x = 24,634.88 × 7,531.97
  4. Step 4: Simplify right side
    16,420.91x = 185,549,139.45
  5. Step 5: Solve for x
    x = 185,549,139.45/16,420.91
  6. Step 6: Final answer
    x = 11,299.56

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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.