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Finding the Fourth Proportional to 29,534.67, 40,756.94 and 16,106.18

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Solution

The fourth proportional to 29,534.67, 40,756.94 and 16,106.18 is: 22,226.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,534.67 : 40,756.94 = 16,106.18 : x
  2. Step 2: Convert to fraction form
    29,534.67/40,756.94 = 16,106.18/x
  3. Step 3: Cross multiply
    29,534.67x = 40,756.94 × 16,106.18
  4. Step 4: Simplify right side
    29,534.67x = 656,438,327.57
  5. Step 5: Solve for x
    x = 656,438,327.57/29,534.67
  6. Step 6: Final answer
    x = 22,226.03

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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.