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Finding the Fourth Proportional to 17,744.70, 24,487.80 and 9,787.16

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Solution

The fourth proportional to 17,744.70, 24,487.80 and 9,787.16 is: 13,506.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,744.70 : 24,487.80 = 9,787.16 : x
  2. Step 2: Convert to fraction form
    17,744.70/24,487.80 = 9,787.16/x
  3. Step 3: Cross multiply
    17,744.70x = 24,487.80 × 9,787.16
  4. Step 4: Simplify right side
    17,744.70x = 239,666,016.65
  5. Step 5: Solve for x
    x = 239,666,016.65/17,744.70
  6. Step 6: Final answer
    x = 13,506.34

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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.