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Finding the Fourth Proportional to 17,633.66, 24,333.62 and 9,675.71

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Solution

The fourth proportional to 17,633.66, 24,333.62 and 9,675.71 is: 13,352.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,633.66 : 24,333.62 = 9,675.71 : x
  2. Step 2: Convert to fraction form
    17,633.66/24,333.62 = 9,675.71/x
  3. Step 3: Cross multiply
    17,633.66x = 24,333.62 × 9,675.71
  4. Step 4: Simplify right side
    17,633.66x = 235,445,001.99
  5. Step 5: Solve for x
    x = 235,445,001.99/17,633.66
  6. Step 6: Final answer
    x = 13,352.02

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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.