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Finding the Fourth Proportional to 17,654.49, 24,363.18 and 9,696.65

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Solution

The fourth proportional to 17,654.49, 24,363.18 and 9,696.65 is: 13,381.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,654.49 : 24,363.18 = 9,696.65 : x
  2. Step 2: Convert to fraction form
    17,654.49/24,363.18 = 9,696.65/x
  3. Step 3: Cross multiply
    17,654.49x = 24,363.18 × 9,696.65
  4. Step 4: Simplify right side
    17,654.49x = 236,241,107.53
  5. Step 5: Solve for x
    x = 236,241,107.53/17,654.49
  6. Step 6: Final answer
    x = 13,381.36

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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.