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Finding the Fourth Proportional to 13,600.92, 20,384.97 and 7,023.51

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Solution

The fourth proportional to 13,600.92, 20,384.97 and 7,023.51 is: 10,526.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,600.92 : 20,384.97 = 7,023.51 : x
  2. Step 2: Convert to fraction form
    13,600.92/20,384.97 = 7,023.51/x
  3. Step 3: Cross multiply
    13,600.92x = 20,384.97 × 7,023.51
  4. Step 4: Simplify right side
    13,600.92x = 143,174,040.64
  5. Step 5: Solve for x
    x = 143,174,040.64/13,600.92
  6. Step 6: Final answer
    x = 10,526.79

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1.5x scale

Why These Related Problems?

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