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Finding the Fourth Proportional to 23,354.72, 35,037.36 and 7,772.96

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Solution

The fourth proportional to 23,354.72, 35,037.36 and 7,772.96 is: 11,661.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,354.72 : 35,037.36 = 7,772.96 : x
  2. Step 2: Convert to fraction form
    23,354.72/35,037.36 = 7,772.96/x
  3. Step 3: Cross multiply
    23,354.72x = 35,037.36 × 7,772.96
  4. Step 4: Simplify right side
    23,354.72x = 272,343,997.79
  5. Step 5: Solve for x
    x = 272,343,997.79/23,354.72
  6. Step 6: Final answer
    x = 11,661.20

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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.