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Finding the Fourth Proportional to 14,340.65, 21,486.67 and 8,782.38

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Solution

The fourth proportional to 14,340.65, 21,486.67 and 8,782.38 is: 13,158.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,340.65 : 21,486.67 = 8,782.38 : x
  2. Step 2: Convert to fraction form
    14,340.65/21,486.67 = 8,782.38/x
  3. Step 3: Cross multiply
    14,340.65x = 21,486.67 × 8,782.38
  4. Step 4: Simplify right side
    14,340.65x = 188,704,078.92
  5. Step 5: Solve for x
    x = 188,704,078.92/14,340.65
  6. Step 6: Final answer
    x = 13,158.69

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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.