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Finding the Fourth Proportional to 14,713.86, 20,313.50 and 9,692.67

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Solution

The fourth proportional to 14,713.86, 20,313.50 and 9,692.67 is: 13,381.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,713.86 : 20,313.50 = 9,692.67 : x
  2. Step 2: Convert to fraction form
    14,713.86/20,313.50 = 9,692.67/x
  3. Step 3: Cross multiply
    14,713.86x = 20,313.50 × 9,692.67
  4. Step 4: Simplify right side
    14,713.86x = 196,892,003.58
  5. Step 5: Solve for x
    x = 196,892,003.58/14,713.86
  6. Step 6: Final answer
    x = 13,381.40

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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.