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Finding the Fourth Proportional to 17,642.83, 24,347.31 and 9,684.89

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Solution

The fourth proportional to 17,642.83, 24,347.31 and 9,684.89 is: 13,365.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,642.83 : 24,347.31 = 9,684.89 : x
  2. Step 2: Convert to fraction form
    17,642.83/24,347.31 = 9,684.89/x
  3. Step 3: Cross multiply
    17,642.83x = 24,347.31 × 9,684.89
  4. Step 4: Simplify right side
    17,642.83x = 235,801,019.15
  5. Step 5: Solve for x
    x = 235,801,019.15/17,642.83
  6. Step 6: Final answer
    x = 13,365.26

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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.