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Finding the Fourth Proportional to 16,084.65, 24,131.87 and 7,763.12

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Solution

The fourth proportional to 16,084.65, 24,131.87 and 7,763.12 is: 11,647.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,084.65 : 24,131.87 = 7,763.12 : x
  2. Step 2: Convert to fraction form
    16,084.65/24,131.87 = 7,763.12/x
  3. Step 3: Cross multiply
    16,084.65x = 24,131.87 × 7,763.12
  4. Step 4: Simplify right side
    16,084.65x = 187,338,602.63
  5. Step 5: Solve for x
    x = 187,338,602.63/16,084.65
  6. Step 6: Final answer
    x = 11,647.04

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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.