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Finding the Fourth Proportional to 19,743.68, 29,597.87 and 7,260.84

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Solution

The fourth proportional to 19,743.68, 29,597.87 and 7,260.84 is: 10,884.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,743.68 : 29,597.87 = 7,260.84 : x
  2. Step 2: Convert to fraction form
    19,743.68/29,597.87 = 7,260.84/x
  3. Step 3: Cross multiply
    19,743.68x = 29,597.87 × 7,260.84
  4. Step 4: Simplify right side
    19,743.68x = 214,905,416.56
  5. Step 5: Solve for x
    x = 214,905,416.56/19,743.68
  6. Step 6: Final answer
    x = 10,884.77

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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.