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Finding the Fourth Proportional to 23,106.88, 34,662.54 and 6,466.96

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Solution

The fourth proportional to 23,106.88, 34,662.54 and 6,466.96 is: 9,701.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,106.88 : 34,662.54 = 6,466.96 : x
  2. Step 2: Convert to fraction form
    23,106.88/34,662.54 = 6,466.96/x
  3. Step 3: Cross multiply
    23,106.88x = 34,662.54 × 6,466.96
  4. Step 4: Simplify right side
    23,106.88x = 224,161,259.68
  5. Step 5: Solve for x
    x = 224,161,259.68/23,106.88
  6. Step 6: Final answer
    x = 9,701.06

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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.