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Finding the Fourth Proportional to 16,084.16, 24,122.64 and 7,763.84

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Solution

The fourth proportional to 16,084.16, 24,122.64 and 7,763.84 is: 11,644.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,084.16 : 24,122.64 = 7,763.84 : x
  2. Step 2: Convert to fraction form
    16,084.16/24,122.64 = 7,763.84/x
  3. Step 3: Cross multiply
    16,084.16x = 24,122.64 × 7,763.84
  4. Step 4: Simplify right side
    16,084.16x = 187,284,317.34
  5. Step 5: Solve for x
    x = 187,284,317.34/16,084.16
  6. Step 6: Final answer
    x = 11,644.02

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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.