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Finding the Fourth Proportional to 17,471.70, 24,110.40 and 9,513.84

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Solution

The fourth proportional to 17,471.70, 24,110.40 and 9,513.84 is: 13,128.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,471.70 : 24,110.40 = 9,513.84 : x
  2. Step 2: Convert to fraction form
    17,471.70/24,110.40 = 9,513.84/x
  3. Step 3: Cross multiply
    17,471.70x = 24,110.40 × 9,513.84
  4. Step 4: Simplify right side
    17,471.70x = 229,382,487.94
  5. Step 5: Solve for x
    x = 229,382,487.94/17,471.70
  6. Step 6: Final answer
    x = 13,128.80

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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.