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Finding the Fourth Proportional to 13,692.14, 18,895.14 and 7,404.50

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Solution

The fourth proportional to 13,692.14, 18,895.14 and 7,404.50 is: 10,218.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,692.14 : 18,895.14 = 7,404.50 : x
  2. Step 2: Convert to fraction form
    13,692.14/18,895.14 = 7,404.50/x
  3. Step 3: Cross multiply
    13,692.14x = 18,895.14 × 7,404.50
  4. Step 4: Simplify right side
    13,692.14x = 139,909,064.13
  5. Step 5: Solve for x
    x = 139,909,064.13/13,692.14
  6. Step 6: Final answer
    x = 10,218.20

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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.