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Finding the Fourth Proportional to 17,140.56, 25,698.96 and 8,382.48

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Solution

The fourth proportional to 17,140.56, 25,698.96 and 8,382.48 is: 12,567.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,140.56 : 25,698.96 = 8,382.48 : x
  2. Step 2: Convert to fraction form
    17,140.56/25,698.96 = 8,382.48/x
  3. Step 3: Cross multiply
    17,140.56x = 25,698.96 × 8,382.48
  4. Step 4: Simplify right side
    17,140.56x = 215,421,018.22
  5. Step 5: Solve for x
    x = 215,421,018.22/17,140.56
  6. Step 6: Final answer
    x = 12,567.91

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1.5x scale

Why These Related Problems?

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