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Finding the Fourth Proportional to 22,675.84, 34,015.20 and 6,035.60

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Solution

The fourth proportional to 22,675.84, 34,015.20 and 6,035.60 is: 9,053.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,675.84 : 34,015.20 = 6,035.60 : x
  2. Step 2: Convert to fraction form
    22,675.84/34,015.20 = 6,035.60/x
  3. Step 3: Cross multiply
    22,675.84x = 34,015.20 × 6,035.60
  4. Step 4: Simplify right side
    22,675.84x = 205,302,141.12
  5. Step 5: Solve for x
    x = 205,302,141.12/22,675.84
  6. Step 6: Final answer
    x = 9,053.78

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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.