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Finding the Fourth Proportional to 15,106.32, 22,662.99 and 4,576.41

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Solution

The fourth proportional to 15,106.32, 22,662.99 and 4,576.41 is: 6,865.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,106.32 : 22,662.99 = 4,576.41 : x
  2. Step 2: Convert to fraction form
    15,106.32/22,662.99 = 4,576.41/x
  3. Step 3: Cross multiply
    15,106.32x = 22,662.99 × 4,576.41
  4. Step 4: Simplify right side
    15,106.32x = 103,715,134.07
  5. Step 5: Solve for x
    x = 103,715,134.07/15,106.32
  6. Step 6: Final answer
    x = 6,865.68

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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.