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Finding the Fourth Proportional to 21,835.64, 32,759.84 and 7,044.23

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Solution

The fourth proportional to 21,835.64, 32,759.84 and 7,044.23 is: 10,568.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,835.64 : 32,759.84 = 7,044.23 : x
  2. Step 2: Convert to fraction form
    21,835.64/32,759.84 = 7,044.23/x
  3. Step 3: Cross multiply
    21,835.64x = 32,759.84 × 7,044.23
  4. Step 4: Simplify right side
    21,835.64x = 230,767,947.23
  5. Step 5: Solve for x
    x = 230,767,947.23/21,835.64
  6. Step 6: Final answer
    x = 10,568.41

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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.