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Finding the Fourth Proportional to 14,083.86, 19,418.09 and 9,039.18

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Solution

The fourth proportional to 14,083.86, 19,418.09 and 9,039.18 is: 12,462.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,083.86 : 19,418.09 = 9,039.18 : x
  2. Step 2: Convert to fraction form
    14,083.86/19,418.09 = 9,039.18/x
  3. Step 3: Cross multiply
    14,083.86x = 19,418.09 × 9,039.18
  4. Step 4: Simplify right side
    14,083.86x = 175,523,565.57
  5. Step 5: Solve for x
    x = 175,523,565.57/14,083.86
  6. Step 6: Final answer
    x = 12,462.75

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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.