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Finding the Fourth Proportional to 17,374.23, 23,976.43 and 9,416.46

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Solution

The fourth proportional to 17,374.23, 23,976.43 and 9,416.46 is: 12,994.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,374.23 : 23,976.43 = 9,416.46 : x
  2. Step 2: Convert to fraction form
    17,374.23/23,976.43 = 9,416.46/x
  3. Step 3: Cross multiply
    17,374.23x = 23,976.43 × 9,416.46
  4. Step 4: Simplify right side
    17,374.23x = 225,773,094.04
  5. Step 5: Solve for x
    x = 225,773,094.04/17,374.23
  6. Step 6: Final answer
    x = 12,994.71

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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.