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Finding the Fourth Proportional to 29,435.74, 40,622.09 and 16,007.78

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Solution

The fourth proportional to 29,435.74, 40,622.09 and 16,007.78 is: 22,091.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,435.74 : 40,622.09 = 16,007.78 : x
  2. Step 2: Convert to fraction form
    29,435.74/40,622.09 = 16,007.78/x
  3. Step 3: Cross multiply
    29,435.74x = 40,622.09 × 16,007.78
  4. Step 4: Simplify right side
    29,435.74x = 650,269,196.71
  5. Step 5: Solve for x
    x = 650,269,196.71/29,435.74
  6. Step 6: Final answer
    x = 22,091.15

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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.