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Finding the Fourth Proportional to 13,062.92, 19,597.76 and 5,665.68

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Solution

The fourth proportional to 13,062.92, 19,597.76 and 5,665.68 is: 8,499.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,062.92 : 19,597.76 = 5,665.68 : x
  2. Step 2: Convert to fraction form
    13,062.92/19,597.76 = 5,665.68/x
  3. Step 3: Cross multiply
    13,062.92x = 19,597.76 × 5,665.68
  4. Step 4: Simplify right side
    13,062.92x = 111,034,636.88
  5. Step 5: Solve for x
    x = 111,034,636.88/13,062.92
  6. Step 6: Final answer
    x = 8,499.99

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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.