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Finding the Fourth Proportional to 19,226.16, 28,834.92 and 6,914.16

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Solution

The fourth proportional to 19,226.16, 28,834.92 and 6,914.16 is: 10,369.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,226.16 : 28,834.92 = 6,914.16 : x
  2. Step 2: Convert to fraction form
    19,226.16/28,834.92 = 6,914.16/x
  3. Step 3: Cross multiply
    19,226.16x = 28,834.92 × 6,914.16
  4. Step 4: Simplify right side
    19,226.16x = 199,369,250.47
  5. Step 5: Solve for x
    x = 199,369,250.47/19,226.16
  6. Step 6: Final answer
    x = 10,369.69

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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.