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Finding the Fourth Proportional to 16,215.26, 24,326.14 and 5,122.98

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Solution

The fourth proportional to 16,215.26, 24,326.14 and 5,122.98 is: 7,685.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,215.26 : 24,326.14 = 5,122.98 : x
  2. Step 2: Convert to fraction form
    16,215.26/24,326.14 = 5,122.98/x
  3. Step 3: Cross multiply
    16,215.26x = 24,326.14 × 5,122.98
  4. Step 4: Simplify right side
    16,215.26x = 124,622,328.70
  5. Step 5: Solve for x
    x = 124,622,328.70/16,215.26
  6. Step 6: Final answer
    x = 7,685.50

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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.