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Finding the Fourth Proportional to 19,748.65, 29,622.97 and 7,907.75

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Solution

The fourth proportional to 19,748.65, 29,622.97 and 7,907.75 is: 11,861.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,748.65 : 29,622.97 = 7,907.75 : x
  2. Step 2: Convert to fraction form
    19,748.65/29,622.97 = 7,907.75/x
  3. Step 3: Cross multiply
    19,748.65x = 29,622.97 × 7,907.75
  4. Step 4: Simplify right side
    19,748.65x = 234,251,041.02
  5. Step 5: Solve for x
    x = 234,251,041.02/19,748.65
  6. Step 6: Final answer
    x = 11,861.62

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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.