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Finding the Fourth Proportional to 13,462.92, 20,197.02 and 4,698.12

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Solution

The fourth proportional to 13,462.92, 20,197.02 and 4,698.12 is: 7,048.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,462.92 : 20,197.02 = 4,698.12 : x
  2. Step 2: Convert to fraction form
    13,462.92/20,197.02 = 4,698.12/x
  3. Step 3: Cross multiply
    13,462.92x = 20,197.02 × 4,698.12
  4. Step 4: Simplify right side
    13,462.92x = 94,888,023.60
  5. Step 5: Solve for x
    x = 94,888,023.60/13,462.92
  6. Step 6: Final answer
    x = 7,048.10

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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.