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Finding the Fourth Proportional to 17,377.12, 23,980.42 and 9,419.28

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Solution

The fourth proportional to 17,377.12, 23,980.42 and 9,419.28 is: 12,998.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,377.12 : 23,980.42 = 9,419.28 : x
  2. Step 2: Convert to fraction form
    17,377.12/23,980.42 = 9,419.28/x
  3. Step 3: Cross multiply
    17,377.12x = 23,980.42 × 9,419.28
  4. Step 4: Simplify right side
    17,377.12x = 225,878,290.50
  5. Step 5: Solve for x
    x = 225,878,290.50/17,377.12
  6. Step 6: Final answer
    x = 12,998.60

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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.