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Finding the Fourth Proportional to 29,038.80, 40,074 and 16,463.56

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Solution

The fourth proportional to 29,038.80, 40,074 and 16,463.56 is: 22,719.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,038.80 : 40,074 = 16,463.56 : x
  2. Step 2: Convert to fraction form
    29,038.80/40,074 = 16,463.56/x
  3. Step 3: Cross multiply
    29,038.80x = 40,074 × 16,463.56
  4. Step 4: Simplify right side
    29,038.80x = 659,760,703.44
  5. Step 5: Solve for x
    x = 659,760,703.44/29,038.80
  6. Step 6: Final answer
    x = 22,719.97

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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.