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Finding the Fourth Proportional to 13,462.60, 20,197.34 and 4,697.64

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Solution

The fourth proportional to 13,462.60, 20,197.34 and 4,697.64 is: 7,047.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,462.60 : 20,197.34 = 4,697.64 : x
  2. Step 2: Convert to fraction form
    13,462.60/20,197.34 = 4,697.64/x
  3. Step 3: Cross multiply
    13,462.60x = 20,197.34 × 4,697.64
  4. Step 4: Simplify right side
    13,462.60x = 94,879,832.28
  5. Step 5: Solve for x
    x = 94,879,832.28/13,462.60
  6. Step 6: Final answer
    x = 7,047.66

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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.