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Finding the Fourth Proportional to 15,422.76, 23,111.82 and 8,396.82

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Solution

The fourth proportional to 15,422.76, 23,111.82 and 8,396.82 is: 12,583.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,422.76 : 23,111.82 = 8,396.82 : x
  2. Step 2: Convert to fraction form
    15,422.76/23,111.82 = 8,396.82/x
  3. Step 3: Cross multiply
    15,422.76x = 23,111.82 × 8,396.82
  4. Step 4: Simplify right side
    15,422.76x = 194,065,792.41
  5. Step 5: Solve for x
    x = 194,065,792.41/15,422.76
  6. Step 6: Final answer
    x = 12,583.08

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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.