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Finding the Fourth Proportional to 13,657.70, 20,471.98 and 9,750.26

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Solution

The fourth proportional to 13,657.70, 20,471.98 and 9,750.26 is: 14,614.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,657.70 : 20,471.98 = 9,750.26 : x
  2. Step 2: Convert to fraction form
    13,657.70/20,471.98 = 9,750.26/x
  3. Step 3: Cross multiply
    13,657.70x = 20,471.98 × 9,750.26
  4. Step 4: Simplify right side
    13,657.70x = 199,607,154.52
  5. Step 5: Solve for x
    x = 199,607,154.52/13,657.70
  6. Step 6: Final answer
    x = 14,614.99

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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.