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Finding the Fourth Proportional to 29,189.68, 40,281.94 and 16,614.42

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Solution

The fourth proportional to 29,189.68, 40,281.94 and 16,614.42 is: 22,928.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,189.68 : 40,281.94 = 16,614.42 : x
  2. Step 2: Convert to fraction form
    29,189.68/40,281.94 = 16,614.42/x
  3. Step 3: Cross multiply
    29,189.68x = 40,281.94 × 16,614.42
  4. Step 4: Simplify right side
    29,189.68x = 669,261,069.57
  5. Step 5: Solve for x
    x = 669,261,069.57/29,189.68
  6. Step 6: Final answer
    x = 22,928.00

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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.