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Finding the Fourth Proportional to 29,838.69, 41,177.50 and 16,410.78

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Solution

The fourth proportional to 29,838.69, 41,177.50 and 16,410.78 is: 22,646.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,838.69 : 41,177.50 = 16,410.78 : x
  2. Step 2: Convert to fraction form
    29,838.69/41,177.50 = 16,410.78/x
  3. Step 3: Cross multiply
    29,838.69x = 41,177.50 × 16,410.78
  4. Step 4: Simplify right side
    29,838.69x = 675,754,893.45
  5. Step 5: Solve for x
    x = 675,754,893.45/29,838.69
  6. Step 6: Final answer
    x = 22,646.94

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