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Finding the Fourth Proportional to 22,644.18, 33,970.86 and 7,851.06

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Solution

The fourth proportional to 22,644.18, 33,970.86 and 7,851.06 is: 11,778.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,644.18 : 33,970.86 = 7,851.06 : x
  2. Step 2: Convert to fraction form
    22,644.18/33,970.86 = 7,851.06/x
  3. Step 3: Cross multiply
    22,644.18x = 33,970.86 × 7,851.06
  4. Step 4: Simplify right side
    22,644.18x = 266,707,260.11
  5. Step 5: Solve for x
    x = 266,707,260.11/22,644.18
  6. Step 6: Final answer
    x = 11,778.18

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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.