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Finding the Fourth Proportional to 17,374.66, 23,976.82 and 9,416.83

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Solution

The fourth proportional to 17,374.66, 23,976.82 and 9,416.83 is: 12,995.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,374.66 : 23,976.82 = 9,416.83 : x
  2. Step 2: Convert to fraction form
    17,374.66/23,976.82 = 9,416.83/x
  3. Step 3: Cross multiply
    17,374.66x = 23,976.82 × 9,416.83
  4. Step 4: Simplify right side
    17,374.66x = 225,785,637.88
  5. Step 5: Solve for x
    x = 225,785,637.88/17,374.66
  6. Step 6: Final answer
    x = 12,995.11

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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.