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Finding the Fourth Proportional to 34,506.83, 51,760.16 and 10,816.17

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Solution

The fourth proportional to 34,506.83, 51,760.16 and 10,816.17 is: 16,224.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,506.83 : 51,760.16 = 10,816.17 : x
  2. Step 2: Convert to fraction form
    34,506.83/51,760.16 = 10,816.17/x
  3. Step 3: Cross multiply
    34,506.83x = 51,760.16 × 10,816.17
  4. Step 4: Simplify right side
    34,506.83x = 559,846,635.71
  5. Step 5: Solve for x
    x = 559,846,635.71/34,506.83
  6. Step 6: Final answer
    x = 16,224.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.