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Finding the Fourth Proportional to 13,692.24, 18,894.12 and 7,722.72

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Solution

The fourth proportional to 13,692.24, 18,894.12 and 7,722.72 is: 10,656.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,692.24 : 18,894.12 = 7,722.72 : x
  2. Step 2: Convert to fraction form
    13,692.24/18,894.12 = 7,722.72/x
  3. Step 3: Cross multiply
    13,692.24x = 18,894.12 × 7,722.72
  4. Step 4: Simplify right side
    13,692.24x = 145,913,998.41
  5. Step 5: Solve for x
    x = 145,913,998.41/13,692.24
  6. Step 6: Final answer
    x = 10,656.69

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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.