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Finding the Fourth Proportional to 21,122.34, 31,690.53 and 7,083.75

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Solution

The fourth proportional to 21,122.34, 31,690.53 and 7,083.75 is: 10,627.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,122.34 : 31,690.53 = 7,083.75 : x
  2. Step 2: Convert to fraction form
    21,122.34/31,690.53 = 7,083.75/x
  3. Step 3: Cross multiply
    21,122.34x = 31,690.53 × 7,083.75
  4. Step 4: Simplify right side
    21,122.34x = 224,487,791.89
  5. Step 5: Solve for x
    x = 224,487,791.89/21,122.34
  6. Step 6: Final answer
    x = 10,627.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.