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Finding the Fourth Proportional to 19,605.40, 29,424.30 and 9,091.60

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Solution

The fourth proportional to 19,605.40, 29,424.30 and 9,091.60 is: 13,644.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,605.40 : 29,424.30 = 9,091.60 : x
  2. Step 2: Convert to fraction form
    19,605.40/29,424.30 = 9,091.60/x
  3. Step 3: Cross multiply
    19,605.40x = 29,424.30 × 9,091.60
  4. Step 4: Simplify right side
    19,605.40x = 267,513,965.88
  5. Step 5: Solve for x
    x = 267,513,965.88/19,605.40
  6. Step 6: Final answer
    x = 13,644.91

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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.