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Finding the Fourth Proportional to 24,216.16, 33,418 and 14,006.92

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Solution

The fourth proportional to 24,216.16, 33,418 and 14,006.92 is: 19,329.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,216.16 : 33,418 = 14,006.92 : x
  2. Step 2: Convert to fraction form
    24,216.16/33,418 = 14,006.92/x
  3. Step 3: Cross multiply
    24,216.16x = 33,418 × 14,006.92
  4. Step 4: Simplify right side
    24,216.16x = 468,083,252.56
  5. Step 5: Solve for x
    x = 468,083,252.56/24,216.16
  6. Step 6: Final answer
    x = 19,329.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.