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Finding the Fourth Proportional to 17,841.80, 26,779.14 and 9,083

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Solution

The fourth proportional to 17,841.80, 26,779.14 and 9,083 is: 13,632.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,841.80 : 26,779.14 = 9,083 : x
  2. Step 2: Convert to fraction form
    17,841.80/26,779.14 = 9,083/x
  3. Step 3: Cross multiply
    17,841.80x = 26,779.14 × 9,083
  4. Step 4: Simplify right side
    17,841.80x = 243,234,928.62
  5. Step 5: Solve for x
    x = 243,234,928.62/17,841.80
  6. Step 6: Final answer
    x = 13,632.87

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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.