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Finding the Fourth Proportional to 29,510.96, 40,724.62 and 16,082.32

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Solution

The fourth proportional to 29,510.96, 40,724.62 and 16,082.32 is: 22,193.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,510.96 : 40,724.62 = 16,082.32 : x
  2. Step 2: Convert to fraction form
    29,510.96/40,724.62 = 16,082.32/x
  3. Step 3: Cross multiply
    29,510.96x = 40,724.62 × 16,082.32
  4. Step 4: Simplify right side
    29,510.96x = 654,946,370.72
  5. Step 5: Solve for x
    x = 654,946,370.72/29,510.96
  6. Step 6: Final answer
    x = 22,193.33

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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.