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Finding the Fourth Proportional to 21,887.25, 32,835.67 and 7,097.66

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Solution

The fourth proportional to 21,887.25, 32,835.67 and 7,097.66 is: 10,648.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,887.25 : 32,835.67 = 7,097.66 : x
  2. Step 2: Convert to fraction form
    21,887.25/32,835.67 = 7,097.66/x
  3. Step 3: Cross multiply
    21,887.25x = 32,835.67 × 7,097.66
  4. Step 4: Simplify right side
    21,887.25x = 233,056,362.74
  5. Step 5: Solve for x
    x = 233,056,362.74/21,887.25
  6. Step 6: Final answer
    x = 10,648.04

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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.