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Finding the Fourth Proportional to 17,561.84, 24,235.00 and 9,604.04

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Solution

The fourth proportional to 17,561.84, 24,235.00 and 9,604.04 is: 13,253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,561.84 : 24,235.00 = 9,604.04 : x
  2. Step 2: Convert to fraction form
    17,561.84/24,235.00 = 9,604.04/x
  3. Step 3: Cross multiply
    17,561.84x = 24,235.00 × 9,604.04
  4. Step 4: Simplify right side
    17,561.84x = 232,753,764.21
  5. Step 5: Solve for x
    x = 232,753,764.21/17,561.84
  6. Step 6: Final answer
    x = 13,253.39

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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.