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Finding the Fourth Proportional to 14,289.50, 19,719.52 and 8,002.02

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Solution

The fourth proportional to 14,289.50, 19,719.52 and 8,002.02 is: 11,042.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,289.50 : 19,719.52 = 8,002.02 : x
  2. Step 2: Convert to fraction form
    14,289.50/19,719.52 = 8,002.02/x
  3. Step 3: Cross multiply
    14,289.50x = 19,719.52 × 8,002.02
  4. Step 4: Simplify right side
    14,289.50x = 157,795,993.43
  5. Step 5: Solve for x
    x = 157,795,993.43/14,289.50
  6. Step 6: Final answer
    x = 11,042.79

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Why These Related Problems?

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