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Finding the Fourth Proportional to 17,377.39, 23,980.86 and 9,419.64

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Solution

The fourth proportional to 17,377.39, 23,980.86 and 9,419.64 is: 12,999.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,377.39 : 23,980.86 = 9,419.64 : x
  2. Step 2: Convert to fraction form
    17,377.39/23,980.86 = 9,419.64/x
  3. Step 3: Cross multiply
    17,377.39x = 23,980.86 × 9,419.64
  4. Step 4: Simplify right side
    17,377.39x = 225,891,113.05
  5. Step 5: Solve for x
    x = 225,891,113.05/17,377.39
  6. Step 6: Final answer
    x = 12,999.14

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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.