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Finding the Fourth Proportional to 24,707.70, 34,112.37 and 16,224.88

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Solution

The fourth proportional to 24,707.70, 34,112.37 and 16,224.88 is: 22,400.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,707.70 : 34,112.37 = 16,224.88 : x
  2. Step 2: Convert to fraction form
    24,707.70/34,112.37 = 16,224.88/x
  3. Step 3: Cross multiply
    24,707.70x = 34,112.37 × 16,224.88
  4. Step 4: Simplify right side
    24,707.70x = 553,469,109.77
  5. Step 5: Solve for x
    x = 553,469,109.77/24,707.70
  6. Step 6: Final answer
    x = 22,400.67

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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.