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Finding the Fourth Proportional to 19,596.24, 29,385.82 and 7,112.10

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Solution

The fourth proportional to 19,596.24, 29,385.82 and 7,112.10 is: 10,665.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,596.24 : 29,385.82 = 7,112.10 : x
  2. Step 2: Convert to fraction form
    19,596.24/29,385.82 = 7,112.10/x
  3. Step 3: Cross multiply
    19,596.24x = 29,385.82 × 7,112.10
  4. Step 4: Simplify right side
    19,596.24x = 208,994,890.42
  5. Step 5: Solve for x
    x = 208,994,890.42/19,596.24
  6. Step 6: Final answer
    x = 10,665.05

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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.