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Finding the Fourth Proportional to 15,775.72, 23,672.63 and 6,414.01

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Solution

The fourth proportional to 15,775.72, 23,672.63 and 6,414.01 is: 9,624.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,775.72 : 23,672.63 = 6,414.01 : x
  2. Step 2: Convert to fraction form
    15,775.72/23,672.63 = 6,414.01/x
  3. Step 3: Cross multiply
    15,775.72x = 23,672.63 × 6,414.01
  4. Step 4: Simplify right side
    15,775.72x = 151,836,453.48
  5. Step 5: Solve for x
    x = 151,836,453.48/15,775.72
  6. Step 6: Final answer
    x = 9,624.69

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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.