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Finding the Fourth Proportional to 17,678.92, 24,394.86 and 9,720.66

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Solution

The fourth proportional to 17,678.92, 24,394.86 and 9,720.66 is: 13,413.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,678.92 : 24,394.86 = 9,720.66 : x
  2. Step 2: Convert to fraction form
    17,678.92/24,394.86 = 9,720.66/x
  3. Step 3: Cross multiply
    17,678.92x = 24,394.86 × 9,720.66
  4. Step 4: Simplify right side
    17,678.92x = 237,134,139.81
  5. Step 5: Solve for x
    x = 237,134,139.81/17,678.92
  6. Step 6: Final answer
    x = 13,413.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.