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Finding the Fourth Proportional to 21,806.40, 32,749.20 and 19,084.80

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Solution

The fourth proportional to 21,806.40, 32,749.20 and 19,084.80 is: 28,661.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,806.40 : 32,749.20 = 19,084.80 : x
  2. Step 2: Convert to fraction form
    21,806.40/32,749.20 = 19,084.80/x
  3. Step 3: Cross multiply
    21,806.40x = 32,749.20 × 19,084.80
  4. Step 4: Simplify right side
    21,806.40x = 625,011,932.16
  5. Step 5: Solve for x
    x = 625,011,932.16/21,806.40
  6. Step 6: Final answer
    x = 28,661.86

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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.