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Finding the Fourth Proportional to 14,289.80, 19,719.90 and 8,002.18

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Solution

The fourth proportional to 14,289.80, 19,719.90 and 8,002.18 is: 11,042.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,289.80 : 19,719.90 = 8,002.18 : x
  2. Step 2: Convert to fraction form
    14,289.80/19,719.90 = 8,002.18/x
  3. Step 3: Cross multiply
    14,289.80x = 19,719.90 × 8,002.18
  4. Step 4: Simplify right side
    14,289.80x = 157,802,189.38
  5. Step 5: Solve for x
    x = 157,802,189.38/14,289.80
  6. Step 6: Final answer
    x = 11,042.99

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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.