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Finding the Fourth Proportional to 35,196.74, 52,798.45 and 9,896.20

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Solution

The fourth proportional to 35,196.74, 52,798.45 and 9,896.20 is: 14,845.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,196.74 : 52,798.45 = 9,896.20 : x
  2. Step 2: Convert to fraction form
    35,196.74/52,798.45 = 9,896.20/x
  3. Step 3: Cross multiply
    35,196.74x = 52,798.45 × 9,896.20
  4. Step 4: Simplify right side
    35,196.74x = 522,504,020.89
  5. Step 5: Solve for x
    x = 522,504,020.89/35,196.74
  6. Step 6: Final answer
    x = 14,845.24

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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.