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Finding the Fourth Proportional to 29,935.16, 41,308.41 and 16,506.13

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Solution

The fourth proportional to 29,935.16, 41,308.41 and 16,506.13 is: 22,777.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,935.16 : 41,308.41 = 16,506.13 : x
  2. Step 2: Convert to fraction form
    29,935.16/41,308.41 = 16,506.13/x
  3. Step 3: Cross multiply
    29,935.16x = 41,308.41 × 16,506.13
  4. Step 4: Simplify right side
    29,935.16x = 681,841,882.28
  5. Step 5: Solve for x
    x = 681,841,882.28/29,935.16
  6. Step 6: Final answer
    x = 22,777.29

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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.