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Finding the Fourth Proportional to 16,003.94, 23,989.50 and 6,140.57

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Solution

The fourth proportional to 16,003.94, 23,989.50 and 6,140.57 is: 9,204.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,003.94 : 23,989.50 = 6,140.57 : x
  2. Step 2: Convert to fraction form
    16,003.94/23,989.50 = 6,140.57/x
  3. Step 3: Cross multiply
    16,003.94x = 23,989.50 × 6,140.57
  4. Step 4: Simplify right side
    16,003.94x = 147,309,084.07
  5. Step 5: Solve for x
    x = 147,309,084.07/16,003.94
  6. Step 6: Final answer
    x = 9,204.55

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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.