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Finding the Fourth Proportional to 14,809.29, 22,194.23 and 7,301.39

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Solution

The fourth proportional to 14,809.29, 22,194.23 and 7,301.39 is: 10,942.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,809.29 : 22,194.23 = 7,301.39 : x
  2. Step 2: Convert to fraction form
    14,809.29/22,194.23 = 7,301.39/x
  3. Step 3: Cross multiply
    14,809.29x = 22,194.23 × 7,301.39
  4. Step 4: Simplify right side
    14,809.29x = 162,048,581.50
  5. Step 5: Solve for x
    x = 162,048,581.50/14,809.29
  6. Step 6: Final answer
    x = 10,942.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.