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Finding the Fourth Proportional to 17,374.22, 23,976.51 and 9,416.44

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Solution

The fourth proportional to 17,374.22, 23,976.51 and 9,416.44 is: 12,994.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,374.22 : 23,976.51 = 9,416.44 : x
  2. Step 2: Convert to fraction form
    17,374.22/23,976.51 = 9,416.44/x
  3. Step 3: Cross multiply
    17,374.22x = 23,976.51 × 9,416.44
  4. Step 4: Simplify right side
    17,374.22x = 225,773,320.74
  5. Step 5: Solve for x
    x = 225,773,320.74/17,374.22
  6. Step 6: Final answer
    x = 12,994.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.