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Finding the Fourth Proportional to 14,442.77, 19,931.13 and 8,311.41

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Solution

The fourth proportional to 14,442.77, 19,931.13 and 8,311.41 is: 11,469.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,442.77 : 19,931.13 = 8,311.41 : x
  2. Step 2: Convert to fraction form
    14,442.77/19,931.13 = 8,311.41/x
  3. Step 3: Cross multiply
    14,442.77x = 19,931.13 × 8,311.41
  4. Step 4: Simplify right side
    14,442.77x = 165,655,793.19
  5. Step 5: Solve for x
    x = 165,655,793.19/14,442.77
  6. Step 6: Final answer
    x = 11,469.81

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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.