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Finding the Fourth Proportional to 22,852.15, 34,264.38 and 14,945.12

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Solution

The fourth proportional to 22,852.15, 34,264.38 and 14,945.12 is: 22,408.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,852.15 : 34,264.38 = 14,945.12 : x
  2. Step 2: Convert to fraction form
    22,852.15/34,264.38 = 14,945.12/x
  3. Step 3: Cross multiply
    22,852.15x = 34,264.38 × 14,945.12
  4. Step 4: Simplify right side
    22,852.15x = 512,085,099.50
  5. Step 5: Solve for x
    x = 512,085,099.50/22,852.15
  6. Step 6: Final answer
    x = 22,408.62

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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.