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Finding the Fourth Proportional to 10,657.37, 14,702.51 and 10,163.27

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Solution

The fourth proportional to 10,657.37, 14,702.51 and 10,163.27 is: 14,020.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.37 : 14,702.51 = 10,163.27 : x
  2. Step 2: Convert to fraction form
    10,657.37/14,702.51 = 10,163.27/x
  3. Step 3: Cross multiply
    10,657.37x = 14,702.51 × 10,163.27
  4. Step 4: Simplify right side
    10,657.37x = 149,425,527.99
  5. Step 5: Solve for x
    x = 149,425,527.99/10,657.37
  6. Step 6: Final answer
    x = 14,020.86

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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.