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Finding the Fourth Proportional to 21,899.54, 32,834.32 and 7,859.25

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Solution

The fourth proportional to 21,899.54, 32,834.32 and 7,859.25 is: 11,783.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,899.54 : 32,834.32 = 7,859.25 : x
  2. Step 2: Convert to fraction form
    21,899.54/32,834.32 = 7,859.25/x
  3. Step 3: Cross multiply
    21,899.54x = 32,834.32 × 7,859.25
  4. Step 4: Simplify right side
    21,899.54x = 258,053,129.46
  5. Step 5: Solve for x
    x = 258,053,129.46/21,899.54
  6. Step 6: Final answer
    x = 11,783.50

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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.