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Finding the Fourth Proportional to 17,760.71, 24,509.83 and 9,694.44

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Solution

The fourth proportional to 17,760.71, 24,509.83 and 9,694.44 is: 13,378.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,760.71 : 24,509.83 = 9,694.44 : x
  2. Step 2: Convert to fraction form
    17,760.71/24,509.83 = 9,694.44/x
  3. Step 3: Cross multiply
    17,760.71x = 24,509.83 × 9,694.44
  4. Step 4: Simplify right side
    17,760.71x = 237,609,076.35
  5. Step 5: Solve for x
    x = 237,609,076.35/17,760.71
  6. Step 6: Final answer
    x = 13,378.35

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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.