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Finding the Fourth Proportional to 29,538.16, 40,763.43 and 16,109.98

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Solution

The fourth proportional to 29,538.16, 40,763.43 and 16,109.98 is: 22,232.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,538.16 : 40,763.43 = 16,109.98 : x
  2. Step 2: Convert to fraction form
    29,538.16/40,763.43 = 16,109.98/x
  3. Step 3: Cross multiply
    29,538.16x = 40,763.43 × 16,109.98
  4. Step 4: Simplify right side
    29,538.16x = 656,698,042.03
  5. Step 5: Solve for x
    x = 656,698,042.03/29,538.16
  6. Step 6: Final answer
    x = 22,232.19

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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.