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Finding the Fourth Proportional to 29,713.51, 41,004.96 and 16,284.47

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Solution

The fourth proportional to 29,713.51, 41,004.96 and 16,284.47 is: 22,472.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,713.51 : 41,004.96 = 16,284.47 : x
  2. Step 2: Convert to fraction form
    29,713.51/41,004.96 = 16,284.47/x
  3. Step 3: Cross multiply
    29,713.51x = 41,004.96 × 16,284.47
  4. Step 4: Simplify right side
    29,713.51x = 667,744,040.97
  5. Step 5: Solve for x
    x = 667,744,040.97/29,713.51
  6. Step 6: Final answer
    x = 22,472.74

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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.