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Finding the Fourth Proportional to 22,730.96, 31,337.88 and 16,983.20

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Solution

The fourth proportional to 22,730.96, 31,337.88 and 16,983.20 is: 23,413.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,730.96 : 31,337.88 = 16,983.20 : x
  2. Step 2: Convert to fraction form
    22,730.96/31,337.88 = 16,983.20/x
  3. Step 3: Cross multiply
    22,730.96x = 31,337.88 × 16,983.20
  4. Step 4: Simplify right side
    22,730.96x = 532,217,483.62
  5. Step 5: Solve for x
    x = 532,217,483.62/22,730.96
  6. Step 6: Final answer
    x = 23,413.77

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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.