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Finding the Fourth Proportional to 23,976.76, 33,088.50 and 13,222.12

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Solution

The fourth proportional to 23,976.76, 33,088.50 and 13,222.12 is: 18,246.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,976.76 : 33,088.50 = 13,222.12 : x
  2. Step 2: Convert to fraction form
    23,976.76/33,088.50 = 13,222.12/x
  3. Step 3: Cross multiply
    23,976.76x = 33,088.50 × 13,222.12
  4. Step 4: Simplify right side
    23,976.76x = 437,500,117.62
  5. Step 5: Solve for x
    x = 437,500,117.62/23,976.76
  6. Step 6: Final answer
    x = 18,246.84

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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.