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Finding the Fourth Proportional to 17,143.50, 23,661.06 and 10,069.92

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Solution

The fourth proportional to 17,143.50, 23,661.06 and 10,069.92 is: 13,898.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,143.50 : 23,661.06 = 10,069.92 : x
  2. Step 2: Convert to fraction form
    17,143.50/23,661.06 = 10,069.92/x
  3. Step 3: Cross multiply
    17,143.50x = 23,661.06 × 10,069.92
  4. Step 4: Simplify right side
    17,143.50x = 238,265,000.20
  5. Step 5: Solve for x
    x = 238,265,000.20/17,143.50
  6. Step 6: Final answer
    x = 13,898.27

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1.5x scale

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.