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Finding the Fourth Proportional to 14,809.92, 22,223.63 and 5,456.50

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Solution

The fourth proportional to 14,809.92, 22,223.63 and 5,456.50 is: 8,187.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,809.92 : 22,223.63 = 5,456.50 : x
  2. Step 2: Convert to fraction form
    14,809.92/22,223.63 = 5,456.50/x
  3. Step 3: Cross multiply
    14,809.92x = 22,223.63 × 5,456.50
  4. Step 4: Simplify right side
    14,809.92x = 121,263,237.10
  5. Step 5: Solve for x
    x = 121,263,237.10/14,809.92
  6. Step 6: Final answer
    x = 8,187.97

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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.