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Finding the Fourth Proportional to 19,692.80, 29,539.20 and 13,097.60

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Solution

The fourth proportional to 19,692.80, 29,539.20 and 13,097.60 is: 19,646.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,692.80 : 29,539.20 = 13,097.60 : x
  2. Step 2: Convert to fraction form
    19,692.80/29,539.20 = 13,097.60/x
  3. Step 3: Cross multiply
    19,692.80x = 29,539.20 × 13,097.60
  4. Step 4: Simplify right side
    19,692.80x = 386,892,625.92
  5. Step 5: Solve for x
    x = 386,892,625.92/19,692.80
  6. Step 6: Final answer
    x = 19,646.40

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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.