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Finding the Fourth Proportional to 13,859.34, 20,755.53 and 9,703.50

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Solution

The fourth proportional to 13,859.34, 20,755.53 and 9,703.50 is: 14,531.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,859.34 : 20,755.53 = 9,703.50 : x
  2. Step 2: Convert to fraction form
    13,859.34/20,755.53 = 9,703.50/x
  3. Step 3: Cross multiply
    13,859.34x = 20,755.53 × 9,703.50
  4. Step 4: Simplify right side
    13,859.34x = 201,401,285.36
  5. Step 5: Solve for x
    x = 201,401,285.36/13,859.34
  6. Step 6: Final answer
    x = 14,531.81

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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.