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Finding the Fourth Proportional to 18,565.68, 27,845.64 and 5,416.68

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Solution

The fourth proportional to 18,565.68, 27,845.64 and 5,416.68 is: 8,124.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,565.68 : 27,845.64 = 5,416.68 : x
  2. Step 2: Convert to fraction form
    18,565.68/27,845.64 = 5,416.68/x
  3. Step 3: Cross multiply
    18,565.68x = 27,845.64 × 5,416.68
  4. Step 4: Simplify right side
    18,565.68x = 150,830,921.28
  5. Step 5: Solve for x
    x = 150,830,921.28/18,565.68
  6. Step 6: Final answer
    x = 8,124.18

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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.