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Finding the Fourth Proportional to 17,339.86, 23,930.16 and 13,083.40

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Solution

The fourth proportional to 17,339.86, 23,930.16 and 13,083.40 is: 18,055.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,339.86 : 23,930.16 = 13,083.40 : x
  2. Step 2: Convert to fraction form
    17,339.86/23,930.16 = 13,083.40/x
  3. Step 3: Cross multiply
    17,339.86x = 23,930.16 × 13,083.40
  4. Step 4: Simplify right side
    17,339.86x = 313,087,855.34
  5. Step 5: Solve for x
    x = 313,087,855.34/17,339.86
  6. Step 6: Final answer
    x = 18,055.96

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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.