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Finding the Fourth Proportional to 16,086.94, 24,140.13 and 6,852.94

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Solution

The fourth proportional to 16,086.94, 24,140.13 and 6,852.94 is: 10,283.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,086.94 : 24,140.13 = 6,852.94 : x
  2. Step 2: Convert to fraction form
    16,086.94/24,140.13 = 6,852.94/x
  3. Step 3: Cross multiply
    16,086.94x = 24,140.13 × 6,852.94
  4. Step 4: Simplify right side
    16,086.94x = 165,430,776.43
  5. Step 5: Solve for x
    x = 165,430,776.43/16,086.94
  6. Step 6: Final answer
    x = 10,283.55

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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.