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Finding the Fourth Proportional to 16,856.70, 23,238.27 and 11,543.10

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Solution

The fourth proportional to 16,856.70, 23,238.27 and 11,543.10 is: 15,913.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,856.70 : 23,238.27 = 11,543.10 : x
  2. Step 2: Convert to fraction form
    16,856.70/23,238.27 = 11,543.10/x
  3. Step 3: Cross multiply
    16,856.70x = 23,238.27 × 11,543.10
  4. Step 4: Simplify right side
    16,856.70x = 268,241,674.44
  5. Step 5: Solve for x
    x = 268,241,674.44/16,856.70
  6. Step 6: Final answer
    x = 15,913.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.