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Finding the Fourth Proportional to 14,400.45, 19,865.83 and 8,428.42

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Solution

The fourth proportional to 14,400.45, 19,865.83 and 8,428.42 is: 11,627.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,400.45 : 19,865.83 = 8,428.42 : x
  2. Step 2: Convert to fraction form
    14,400.45/19,865.83 = 8,428.42/x
  3. Step 3: Cross multiply
    14,400.45x = 19,865.83 × 8,428.42
  4. Step 4: Simplify right side
    14,400.45x = 167,437,558.89
  5. Step 5: Solve for x
    x = 167,437,558.89/14,400.45
  6. Step 6: Final answer
    x = 11,627.24

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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.