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Finding the Fourth Proportional to 23,106.72, 34,663.72 and 9,962.80

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Solution

The fourth proportional to 23,106.72, 34,663.72 and 9,962.80 is: 14,945.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,106.72 : 34,663.72 = 9,962.80 : x
  2. Step 2: Convert to fraction form
    23,106.72/34,663.72 = 9,962.80/x
  3. Step 3: Cross multiply
    23,106.72x = 34,663.72 × 9,962.80
  4. Step 4: Simplify right side
    23,106.72x = 345,347,709.62
  5. Step 5: Solve for x
    x = 345,347,709.62/23,106.72
  6. Step 6: Final answer
    x = 14,945.77

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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.