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Finding the Fourth Proportional to 17,130.57, 23,643.27 and 10,057.38

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Solution

The fourth proportional to 17,130.57, 23,643.27 and 10,057.38 is: 13,880.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,130.57 : 23,643.27 = 10,057.38 : x
  2. Step 2: Convert to fraction form
    17,130.57/23,643.27 = 10,057.38/x
  3. Step 3: Cross multiply
    17,130.57x = 23,643.27 × 10,057.38
  4. Step 4: Simplify right side
    17,130.57x = 237,789,350.83
  5. Step 5: Solve for x
    x = 237,789,350.83/17,130.57
  6. Step 6: Final answer
    x = 13,880.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.