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Finding the Fourth Proportional to 13,462.34, 20,192.07 and 4,697.42

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Solution

The fourth proportional to 13,462.34, 20,192.07 and 4,697.42 is: 7,045.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,462.34 : 20,192.07 = 4,697.42 : x
  2. Step 2: Convert to fraction form
    13,462.34/20,192.07 = 4,697.42/x
  3. Step 3: Cross multiply
    13,462.34x = 20,192.07 × 4,697.42
  4. Step 4: Simplify right side
    13,462.34x = 94,850,633.46
  5. Step 5: Solve for x
    x = 94,850,633.46/13,462.34
  6. Step 6: Final answer
    x = 7,045.63

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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.