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Finding the Fourth Proportional to 12,565.68, 18,833.87 and 5,161.02

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Solution

The fourth proportional to 12,565.68, 18,833.87 and 5,161.02 is: 7,735.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.68 : 18,833.87 = 5,161.02 : x
  2. Step 2: Convert to fraction form
    12,565.68/18,833.87 = 5,161.02/x
  3. Step 3: Cross multiply
    12,565.68x = 18,833.87 × 5,161.02
  4. Step 4: Simplify right side
    12,565.68x = 97,201,892.99
  5. Step 5: Solve for x
    x = 97,201,892.99/12,565.68
  6. Step 6: Final answer
    x = 7,735.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.