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Finding the Fourth Proportional to 17,642.34, 24,346.89 and 9,684.99

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Solution

The fourth proportional to 17,642.34, 24,346.89 and 9,684.99 is: 13,365.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,642.34 : 24,346.89 = 9,684.99 : x
  2. Step 2: Convert to fraction form
    17,642.34/24,346.89 = 9,684.99/x
  3. Step 3: Cross multiply
    17,642.34x = 24,346.89 × 9,684.99
  4. Step 4: Simplify right side
    17,642.34x = 235,799,386.18
  5. Step 5: Solve for x
    x = 235,799,386.18/17,642.34
  6. Step 6: Final answer
    x = 13,365.54

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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.