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Finding the Fourth Proportional to 14,634.84, 20,199.06 and 9,920.64

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Solution

The fourth proportional to 14,634.84, 20,199.06 and 9,920.64 is: 13,692.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,634.84 : 20,199.06 = 9,920.64 : x
  2. Step 2: Convert to fraction form
    14,634.84/20,199.06 = 9,920.64/x
  3. Step 3: Cross multiply
    14,634.84x = 20,199.06 × 9,920.64
  4. Step 4: Simplify right side
    14,634.84x = 200,387,602.60
  5. Step 5: Solve for x
    x = 200,387,602.60/14,634.84
  6. Step 6: Final answer
    x = 13,692.50

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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.