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Finding the Fourth Proportional to 13,600.54, 20,384.41 and 7,023.14

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Solution

The fourth proportional to 13,600.54, 20,384.41 and 7,023.14 is: 10,526.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,600.54 : 20,384.41 = 7,023.14 : x
  2. Step 2: Convert to fraction form
    13,600.54/20,384.41 = 7,023.14/x
  3. Step 3: Cross multiply
    13,600.54x = 20,384.41 × 7,023.14
  4. Step 4: Simplify right side
    13,600.54x = 143,162,530.13
  5. Step 5: Solve for x
    x = 143,162,530.13/13,600.54
  6. Step 6: Final answer
    x = 10,526.24

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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.