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Finding the Fourth Proportional to 13,823.87, 19,061.87 and 9,339.83

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Solution

The fourth proportional to 13,823.87, 19,061.87 and 9,339.83 is: 12,878.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823.87 : 19,061.87 = 9,339.83 : x
  2. Step 2: Convert to fraction form
    13,823.87/19,061.87 = 9,339.83/x
  3. Step 3: Cross multiply
    13,823.87x = 19,061.87 × 9,339.83
  4. Step 4: Simplify right side
    13,823.87x = 178,034,626.24
  5. Step 5: Solve for x
    x = 178,034,626.24/13,823.87
  6. Step 6: Final answer
    x = 12,878.78

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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.