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Finding the Fourth Proportional to 16,084.98, 24,114.51 and 6,857.46

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Solution

The fourth proportional to 16,084.98, 24,114.51 and 6,857.46 is: 10,280.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,084.98 : 24,114.51 = 6,857.46 : x
  2. Step 2: Convert to fraction form
    16,084.98/24,114.51 = 6,857.46/x
  3. Step 3: Cross multiply
    16,084.98x = 24,114.51 × 6,857.46
  4. Step 4: Simplify right side
    16,084.98x = 165,364,287.74
  5. Step 5: Solve for x
    x = 165,364,287.74/16,084.98
  6. Step 6: Final answer
    x = 10,280.66

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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.