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Finding the Fourth Proportional to 19,985.20, 29,974.96 and 6,835.66

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Solution

The fourth proportional to 19,985.20, 29,974.96 and 6,835.66 is: 10,252.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,985.20 : 29,974.96 = 6,835.66 : x
  2. Step 2: Convert to fraction form
    19,985.20/29,974.96 = 6,835.66/x
  3. Step 3: Cross multiply
    19,985.20x = 29,974.96 × 6,835.66
  4. Step 4: Simplify right side
    19,985.20x = 204,898,635.07
  5. Step 5: Solve for x
    x = 204,898,635.07/19,985.20
  6. Step 6: Final answer
    x = 10,252.52

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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.