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Finding the Fourth Proportional to 29,196.25, 40,289.92 and 16,448.43

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Solution

The fourth proportional to 29,196.25, 40,289.92 and 16,448.43 is: 22,698.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,196.25 : 40,289.92 = 16,448.43 : x
  2. Step 2: Convert to fraction form
    29,196.25/40,289.92 = 16,448.43/x
  3. Step 3: Cross multiply
    29,196.25x = 40,289.92 × 16,448.43
  4. Step 4: Simplify right side
    29,196.25x = 662,706,071.47
  5. Step 5: Solve for x
    x = 662,706,071.47/29,196.25
  6. Step 6: Final answer
    x = 22,698.33

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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.