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Finding the Fourth Proportional to 29,510.70, 40,725.74 and 16,082.40

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Solution

The fourth proportional to 29,510.70, 40,725.74 and 16,082.40 is: 22,194.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,510.70 : 40,725.74 = 16,082.40 : x
  2. Step 2: Convert to fraction form
    29,510.70/40,725.74 = 16,082.40/x
  3. Step 3: Cross multiply
    29,510.70x = 40,725.74 × 16,082.40
  4. Step 4: Simplify right side
    29,510.70x = 654,967,640.98
  5. Step 5: Solve for x
    x = 654,967,640.98/29,510.70
  6. Step 6: Final answer
    x = 22,194.24

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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.