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Finding the Fourth Proportional to 14,592.86, 20,138.12 and 8,306.46

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Solution

The fourth proportional to 14,592.86, 20,138.12 and 8,306.46 is: 11,462.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,592.86 : 20,138.12 = 8,306.46 : x
  2. Step 2: Convert to fraction form
    14,592.86/20,138.12 = 8,306.46/x
  3. Step 3: Cross multiply
    14,592.86x = 20,138.12 × 8,306.46
  4. Step 4: Simplify right side
    14,592.86x = 167,276,488.26
  5. Step 5: Solve for x
    x = 167,276,488.26/14,592.86
  6. Step 6: Final answer
    x = 11,462.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.