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Finding the Fourth Proportional to 14,219.69, 19,624.12 and 8,251.34

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Solution

The fourth proportional to 14,219.69, 19,624.12 and 8,251.34 is: 11,387.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,219.69 : 19,624.12 = 8,251.34 : x
  2. Step 2: Convert to fraction form
    14,219.69/19,624.12 = 8,251.34/x
  3. Step 3: Cross multiply
    14,219.69x = 19,624.12 × 8,251.34
  4. Step 4: Simplify right side
    14,219.69x = 161,925,167.57
  5. Step 5: Solve for x
    x = 161,925,167.57/14,219.69
  6. Step 6: Final answer
    x = 11,387.39

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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.