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Finding the Fourth Proportional to 21,968.30, 32,945.63 and 7,926.50

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Solution

The fourth proportional to 21,968.30, 32,945.63 and 7,926.50 is: 11,887.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,968.30 : 32,945.63 = 7,926.50 : x
  2. Step 2: Convert to fraction form
    21,968.30/32,945.63 = 7,926.50/x
  3. Step 3: Cross multiply
    21,968.30x = 32,945.63 × 7,926.50
  4. Step 4: Simplify right side
    21,968.30x = 261,143,455.38
  5. Step 5: Solve for x
    x = 261,143,455.38/21,968.30
  6. Step 6: Final answer
    x = 11,887.29

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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.