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Finding the Fourth Proportional to 21,198.50, 31,812.36 and 7,347.50

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Solution

The fourth proportional to 21,198.50, 31,812.36 and 7,347.50 is: 11,026.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,198.50 : 31,812.36 = 7,347.50 : x
  2. Step 2: Convert to fraction form
    21,198.50/31,812.36 = 7,347.50/x
  3. Step 3: Cross multiply
    21,198.50x = 31,812.36 × 7,347.50
  4. Step 4: Simplify right side
    21,198.50x = 233,741,315.10
  5. Step 5: Solve for x
    x = 233,741,315.10/21,198.50
  6. Step 6: Final answer
    x = 11,026.31

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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.