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Finding the Fourth Proportional to 14,311.92, 19,709.52 and 14,006.64

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Solution

The fourth proportional to 14,311.92, 19,709.52 and 14,006.64 is: 19,289.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.92 : 19,709.52 = 14,006.64 : x
  2. Step 2: Convert to fraction form
    14,311.92/19,709.52 = 14,006.64/x
  3. Step 3: Cross multiply
    14,311.92x = 19,709.52 × 14,006.64
  4. Step 4: Simplify right side
    14,311.92x = 276,064,151.21
  5. Step 5: Solve for x
    x = 276,064,151.21/14,311.92
  6. Step 6: Final answer
    x = 19,289.11

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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.