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Finding the Fourth Proportional to 14,345.16, 19,794.84 and 8,380.30

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Solution

The fourth proportional to 14,345.16, 19,794.84 and 8,380.30 is: 11,563.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,345.16 : 19,794.84 = 8,380.30 : x
  2. Step 2: Convert to fraction form
    14,345.16/19,794.84 = 8,380.30/x
  3. Step 3: Cross multiply
    14,345.16x = 19,794.84 × 8,380.30
  4. Step 4: Simplify right side
    14,345.16x = 165,886,697.65
  5. Step 5: Solve for x
    x = 165,886,697.65/14,345.16
  6. Step 6: Final answer
    x = 11,563.95

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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.