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Finding the Fourth Proportional to 15,403.19, 23,105.75 and 6,516.86

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Solution

The fourth proportional to 15,403.19, 23,105.75 and 6,516.86 is: 9,775.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,403.19 : 23,105.75 = 6,516.86 : x
  2. Step 2: Convert to fraction form
    15,403.19/23,105.75 = 6,516.86/x
  3. Step 3: Cross multiply
    15,403.19x = 23,105.75 × 6,516.86
  4. Step 4: Simplify right side
    15,403.19x = 150,576,789.83
  5. Step 5: Solve for x
    x = 150,576,789.83/15,403.19
  6. Step 6: Final answer
    x = 9,775.69

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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.