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Finding the Fourth Proportional to 12,896.92, 17,808.26 and 10,507.24

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Solution

The fourth proportional to 12,896.92, 17,808.26 and 10,507.24 is: 14,508.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896.92 : 17,808.26 = 10,507.24 : x
  2. Step 2: Convert to fraction form
    12,896.92/17,808.26 = 10,507.24/x
  3. Step 3: Cross multiply
    12,896.92x = 17,808.26 × 10,507.24
  4. Step 4: Simplify right side
    12,896.92x = 187,115,681.61
  5. Step 5: Solve for x
    x = 187,115,681.61/12,896.92
  6. Step 6: Final answer
    x = 14,508.55

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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.