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Finding the Fourth Proportional to 22,993.75, 34,498.95 and 11,315.17

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Solution

The fourth proportional to 22,993.75, 34,498.95 and 11,315.17 is: 16,976.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,993.75 : 34,498.95 = 11,315.17 : x
  2. Step 2: Convert to fraction form
    22,993.75/34,498.95 = 11,315.17/x
  3. Step 3: Cross multiply
    22,993.75x = 34,498.95 × 11,315.17
  4. Step 4: Simplify right side
    22,993.75x = 390,361,484.07
  5. Step 5: Solve for x
    x = 390,361,484.07/22,993.75
  6. Step 6: Final answer
    x = 16,976.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.