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Finding the Fourth Proportional to 21,102.74, 31,642.43 and 8,631.53

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Solution

The fourth proportional to 21,102.74, 31,642.43 and 8,631.53 is: 12,942.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,102.74 : 31,642.43 = 8,631.53 : x
  2. Step 2: Convert to fraction form
    21,102.74/31,642.43 = 8,631.53/x
  3. Step 3: Cross multiply
    21,102.74x = 31,642.43 × 8,631.53
  4. Step 4: Simplify right side
    21,102.74x = 273,122,460.67
  5. Step 5: Solve for x
    x = 273,122,460.67/21,102.74
  6. Step 6: Final answer
    x = 12,942.51

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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.