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Finding the Fourth Proportional to 21,261.45, 31,883.94 and 7,219.11

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Solution

The fourth proportional to 21,261.45, 31,883.94 and 7,219.11 is: 10,825.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,261.45 : 31,883.94 = 7,219.11 : x
  2. Step 2: Convert to fraction form
    21,261.45/31,883.94 = 7,219.11/x
  3. Step 3: Cross multiply
    21,261.45x = 31,883.94 × 7,219.11
  4. Step 4: Simplify right side
    21,261.45x = 230,173,670.09
  5. Step 5: Solve for x
    x = 230,173,670.09/21,261.45
  6. Step 6: Final answer
    x = 10,825.87

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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.