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Finding the Fourth Proportional to 29,812, 41,140.64 and 16,564

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Solution

The fourth proportional to 29,812, 41,140.64 and 16,564 is: 22,858.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,812 : 41,140.64 = 16,564 : x
  2. Step 2: Convert to fraction form
    29,812/41,140.64 = 16,564/x
  3. Step 3: Cross multiply
    29,812x = 41,140.64 × 16,564
  4. Step 4: Simplify right side
    29,812x = 681,453,560.96
  5. Step 5: Solve for x
    x = 681,453,560.96/29,812
  6. Step 6: Final answer
    x = 22,858.36

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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.