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Finding the Fourth Proportional to 14,511.15, 20,024.82 and 8,223.39

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Solution

The fourth proportional to 14,511.15, 20,024.82 and 8,223.39 is: 11,347.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,511.15 : 20,024.82 = 8,223.39 : x
  2. Step 2: Convert to fraction form
    14,511.15/20,024.82 = 8,223.39/x
  3. Step 3: Cross multiply
    14,511.15x = 20,024.82 × 8,223.39
  4. Step 4: Simplify right side
    14,511.15x = 164,671,904.54
  5. Step 5: Solve for x
    x = 164,671,904.54/14,511.15
  6. Step 6: Final answer
    x = 11,347.96

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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.