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Finding the Fourth Proportional to 21,856.42, 30,163.05 and 16,541.86

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Solution

The fourth proportional to 21,856.42, 30,163.05 and 16,541.86 is: 22,828.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,856.42 : 30,163.05 = 16,541.86 : x
  2. Step 2: Convert to fraction form
    21,856.42/30,163.05 = 16,541.86/x
  3. Step 3: Cross multiply
    21,856.42x = 30,163.05 × 16,541.86
  4. Step 4: Simplify right side
    21,856.42x = 498,952,950.27
  5. Step 5: Solve for x
    x = 498,952,950.27/21,856.42
  6. Step 6: Final answer
    x = 22,828.67

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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.