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Finding the Fourth Proportional to 17,374.62, 23,976.32 and 9,416.66

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Solution

The fourth proportional to 17,374.62, 23,976.32 and 9,416.66 is: 12,994.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,374.62 : 23,976.32 = 9,416.66 : x
  2. Step 2: Convert to fraction form
    17,374.62/23,976.32 = 9,416.66/x
  3. Step 3: Cross multiply
    17,374.62x = 23,976.32 × 9,416.66
  4. Step 4: Simplify right side
    17,374.62x = 225,776,853.49
  5. Step 5: Solve for x
    x = 225,776,853.49/17,374.62
  6. Step 6: Final answer
    x = 12,994.64

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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.