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Finding the Fourth Proportional to 21,234.98, 31,852.47 and 7,195.07

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Solution

The fourth proportional to 21,234.98, 31,852.47 and 7,195.07 is: 10,792.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,234.98 : 31,852.47 = 7,195.07 : x
  2. Step 2: Convert to fraction form
    21,234.98/31,852.47 = 7,195.07/x
  3. Step 3: Cross multiply
    21,234.98x = 31,852.47 × 7,195.07
  4. Step 4: Simplify right side
    21,234.98x = 229,180,751.32
  5. Step 5: Solve for x
    x = 229,180,751.32/21,234.98
  6. Step 6: Final answer
    x = 10,792.61

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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.