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Finding the Fourth Proportional to 13,041.84, 19,566 and 3,807.84

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Solution

The fourth proportional to 13,041.84, 19,566 and 3,807.84 is: 5,712.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,041.84 : 19,566 = 3,807.84 : x
  2. Step 2: Convert to fraction form
    13,041.84/19,566 = 3,807.84/x
  3. Step 3: Cross multiply
    13,041.84x = 19,566 × 3,807.84
  4. Step 4: Simplify right side
    13,041.84x = 74,504,197.44
  5. Step 5: Solve for x
    x = 74,504,197.44/13,041.84
  6. Step 6: Final answer
    x = 5,712.71

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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.