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Finding the Fourth Proportional to 17,578.36, 24,258.10 and 9,620.56

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Solution

The fourth proportional to 17,578.36, 24,258.10 and 9,620.56 is: 13,276.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,578.36 : 24,258.10 = 9,620.56 : x
  2. Step 2: Convert to fraction form
    17,578.36/24,258.10 = 9,620.56/x
  3. Step 3: Cross multiply
    17,578.36x = 24,258.10 × 9,620.56
  4. Step 4: Simplify right side
    17,578.36x = 233,376,506.54
  5. Step 5: Solve for x
    x = 233,376,506.54/17,578.36
  6. Step 6: Final answer
    x = 13,276.35

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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.