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Finding the Fourth Proportional to 17,585.25, 24,267.66 and 9,627.96

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Solution

The fourth proportional to 17,585.25, 24,267.66 and 9,627.96 is: 13,286.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,585.25 : 24,267.66 = 9,627.96 : x
  2. Step 2: Convert to fraction form
    17,585.25/24,267.66 = 9,627.96/x
  3. Step 3: Cross multiply
    17,585.25x = 24,267.66 × 9,627.96
  4. Step 4: Simplify right side
    17,585.25x = 233,648,059.77
  5. Step 5: Solve for x
    x = 233,648,059.77/17,585.25
  6. Step 6: Final answer
    x = 13,286.59

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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.