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Finding the Fourth Proportional to 23,313.75, 32,172.99 and 12,703.38

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Solution

The fourth proportional to 23,313.75, 32,172.99 and 12,703.38 is: 17,530.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,313.75 : 32,172.99 = 12,703.38 : x
  2. Step 2: Convert to fraction form
    23,313.75/32,172.99 = 12,703.38/x
  3. Step 3: Cross multiply
    23,313.75x = 32,172.99 × 12,703.38
  4. Step 4: Simplify right side
    23,313.75x = 408,705,717.71
  5. Step 5: Solve for x
    x = 408,705,717.71/23,313.75
  6. Step 6: Final answer
    x = 17,530.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.