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Finding the Fourth Proportional to 17,298.76, 23,871.08 and 10,223.82

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Solution

The fourth proportional to 17,298.76, 23,871.08 and 10,223.82 is: 14,108.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,298.76 : 23,871.08 = 10,223.82 : x
  2. Step 2: Convert to fraction form
    17,298.76/23,871.08 = 10,223.82/x
  3. Step 3: Cross multiply
    17,298.76x = 23,871.08 × 10,223.82
  4. Step 4: Simplify right side
    17,298.76x = 244,053,625.13
  5. Step 5: Solve for x
    x = 244,053,625.13/17,298.76
  6. Step 6: Final answer
    x = 14,108.16

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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.