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Finding the Fourth Proportional to 18,565, 27,846.96 and 6,877.96

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Solution

The fourth proportional to 18,565, 27,846.96 and 6,877.96 is: 10,316.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,565 : 27,846.96 = 6,877.96 : x
  2. Step 2: Convert to fraction form
    18,565/27,846.96 = 6,877.96/x
  3. Step 3: Cross multiply
    18,565x = 27,846.96 × 6,877.96
  4. Step 4: Simplify right side
    18,565x = 191,530,277.00
  5. Step 5: Solve for x
    x = 191,530,277.00/18,565
  6. Step 6: Final answer
    x = 10,316.74

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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.