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Finding the Fourth Proportional to 12,582.09, 18,874.62 and 3,817.08

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Solution

The fourth proportional to 12,582.09, 18,874.62 and 3,817.08 is: 5,726.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582.09 : 18,874.62 = 3,817.08 : x
  2. Step 2: Convert to fraction form
    12,582.09/18,874.62 = 3,817.08/x
  3. Step 3: Cross multiply
    12,582.09x = 18,874.62 × 3,817.08
  4. Step 4: Simplify right side
    12,582.09x = 72,045,934.51
  5. Step 5: Solve for x
    x = 72,045,934.51/12,582.09
  6. Step 6: Final answer
    x = 5,726.07

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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.