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Finding the Fourth Proportional to 23,193.84, 34,796.16 and 7,610.52

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Solution

The fourth proportional to 23,193.84, 34,796.16 and 7,610.52 is: 11,417.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,193.84 : 34,796.16 = 7,610.52 : x
  2. Step 2: Convert to fraction form
    23,193.84/34,796.16 = 7,610.52/x
  3. Step 3: Cross multiply
    23,193.84x = 34,796.16 × 7,610.52
  4. Step 4: Simplify right side
    23,193.84x = 264,816,871.60
  5. Step 5: Solve for x
    x = 264,816,871.60/23,193.84
  6. Step 6: Final answer
    x = 11,417.55

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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.