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Finding the Fourth Proportional to 13,423.10, 20,134.65 and 9,923.90

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Solution

The fourth proportional to 13,423.10, 20,134.65 and 9,923.90 is: 14,885.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423.10 : 20,134.65 = 9,923.90 : x
  2. Step 2: Convert to fraction form
    13,423.10/20,134.65 = 9,923.90/x
  3. Step 3: Cross multiply
    13,423.10x = 20,134.65 × 9,923.90
  4. Step 4: Simplify right side
    13,423.10x = 199,814,253.14
  5. Step 5: Solve for x
    x = 199,814,253.14/13,423.10
  6. Step 6: Final answer
    x = 14,885.85

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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.