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Finding the Fourth Proportional to 15,111.83, 20,855.31 and 9,143.75

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Solution

The fourth proportional to 15,111.83, 20,855.31 and 9,143.75 is: 12,618.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,111.83 : 20,855.31 = 9,143.75 : x
  2. Step 2: Convert to fraction form
    15,111.83/20,855.31 = 9,143.75/x
  3. Step 3: Cross multiply
    15,111.83x = 20,855.31 × 9,143.75
  4. Step 4: Simplify right side
    15,111.83x = 190,695,740.81
  5. Step 5: Solve for x
    x = 190,695,740.81/15,111.83
  6. Step 6: Final answer
    x = 12,618.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.