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Finding the Fourth Proportional to 17,787.26, 24,546.90 and 9,829.98

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Solution

The fourth proportional to 17,787.26, 24,546.90 and 9,829.98 is: 13,565.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,787.26 : 24,546.90 = 9,829.98 : x
  2. Step 2: Convert to fraction form
    17,787.26/24,546.90 = 9,829.98/x
  3. Step 3: Cross multiply
    17,787.26x = 24,546.90 × 9,829.98
  4. Step 4: Simplify right side
    17,787.26x = 241,295,536.06
  5. Step 5: Solve for x
    x = 241,295,536.06/17,787.26
  6. Step 6: Final answer
    x = 13,565.64

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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.