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Finding the Fourth Proportional to 24,563.70, 36,814.74 and 10,507.23

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Solution

The fourth proportional to 24,563.70, 36,814.74 and 10,507.23 is: 15,747.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,563.70 : 36,814.74 = 10,507.23 : x
  2. Step 2: Convert to fraction form
    24,563.70/36,814.74 = 10,507.23/x
  3. Step 3: Cross multiply
    24,563.70x = 36,814.74 × 10,507.23
  4. Step 4: Simplify right side
    24,563.70x = 386,820,940.57
  5. Step 5: Solve for x
    x = 386,820,940.57/24,563.70
  6. Step 6: Final answer
    x = 15,747.67

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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.