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Finding the Fourth Proportional to 16,182.70, 24,241.71 and 12,856.57

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Solution

The fourth proportional to 16,182.70, 24,241.71 and 12,856.57 is: 19,259.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,182.70 : 24,241.71 = 12,856.57 : x
  2. Step 2: Convert to fraction form
    16,182.70/24,241.71 = 12,856.57/x
  3. Step 3: Cross multiply
    16,182.70x = 24,241.71 × 12,856.57
  4. Step 4: Simplify right side
    16,182.70x = 311,665,180.93
  5. Step 5: Solve for x
    x = 311,665,180.93/16,182.70
  6. Step 6: Final answer
    x = 19,259.16

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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.