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Finding the Fourth Proportional to 13,025.71, 19,538.58 and 3,164.99

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Solution

The fourth proportional to 13,025.71, 19,538.58 and 3,164.99 is: 4,747.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,025.71 : 19,538.58 = 3,164.99 : x
  2. Step 2: Convert to fraction form
    13,025.71/19,538.58 = 3,164.99/x
  3. Step 3: Cross multiply
    13,025.71x = 19,538.58 × 3,164.99
  4. Step 4: Simplify right side
    13,025.71x = 61,839,410.31
  5. Step 5: Solve for x
    x = 61,839,410.31/13,025.71
  6. Step 6: Final answer
    x = 4,747.49

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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.