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Finding the Fourth Proportional to 12,020.27, 18,036.86 and 6,176.88

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Solution

The fourth proportional to 12,020.27, 18,036.86 and 6,176.88 is: 9,268.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,020.27 : 18,036.86 = 6,176.88 : x
  2. Step 2: Convert to fraction form
    12,020.27/18,036.86 = 6,176.88/x
  3. Step 3: Cross multiply
    12,020.27x = 18,036.86 × 6,176.88
  4. Step 4: Simplify right side
    12,020.27x = 111,411,488.91
  5. Step 5: Solve for x
    x = 111,411,488.91/12,020.27
  6. Step 6: Final answer
    x = 9,268.64

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