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Finding the Fourth Proportional to 21,806.69, 32,628.33 and 12,889.20

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Solution

The fourth proportional to 21,806.69, 32,628.33 and 12,889.20 is: 19,285.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,806.69 : 32,628.33 = 12,889.20 : x
  2. Step 2: Convert to fraction form
    21,806.69/32,628.33 = 12,889.20/x
  3. Step 3: Cross multiply
    21,806.69x = 32,628.33 × 12,889.20
  4. Step 4: Simplify right side
    21,806.69x = 420,553,071.04
  5. Step 5: Solve for x
    x = 420,553,071.04/21,806.69
  6. Step 6: Final answer
    x = 19,285.50

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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.