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Finding the Fourth Proportional to 20,792.66, 31,170.50 and 7,641.95

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Solution

The fourth proportional to 20,792.66, 31,170.50 and 7,641.95 is: 11,456.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,792.66 : 31,170.50 = 7,641.95 : x
  2. Step 2: Convert to fraction form
    20,792.66/31,170.50 = 7,641.95/x
  3. Step 3: Cross multiply
    20,792.66x = 31,170.50 × 7,641.95
  4. Step 4: Simplify right side
    20,792.66x = 238,203,208.41
  5. Step 5: Solve for x
    x = 238,203,208.41/20,792.66
  6. Step 6: Final answer
    x = 11,456.12

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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.