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Finding the Fourth Proportional to 17,471.58, 24,110.82 and 9,513.84

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Solution

The fourth proportional to 17,471.58, 24,110.82 and 9,513.84 is: 13,129.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,471.58 : 24,110.82 = 9,513.84 : x
  2. Step 2: Convert to fraction form
    17,471.58/24,110.82 = 9,513.84/x
  3. Step 3: Cross multiply
    17,471.58x = 24,110.82 × 9,513.84
  4. Step 4: Simplify right side
    17,471.58x = 229,386,574.16
  5. Step 5: Solve for x
    x = 229,386,574.16/17,471.58
  6. Step 6: Final answer
    x = 13,129.13

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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.