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Finding the Fourth Proportional to 19,688.87, 29,524.64 and 7,205.65

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Solution

The fourth proportional to 19,688.87, 29,524.64 and 7,205.65 is: 10,805.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,688.87 : 29,524.64 = 7,205.65 : x
  2. Step 2: Convert to fraction form
    19,688.87/29,524.64 = 7,205.65/x
  3. Step 3: Cross multiply
    19,688.87x = 29,524.64 × 7,205.65
  4. Step 4: Simplify right side
    19,688.87x = 212,744,222.22
  5. Step 5: Solve for x
    x = 212,744,222.22/19,688.87
  6. Step 6: Final answer
    x = 10,805.30

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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.