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Finding the Fourth Proportional to 13,034.71, 19,551.68 and 3,173.84

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Solution

The fourth proportional to 13,034.71, 19,551.68 and 3,173.84 is: 4,760.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,034.71 : 19,551.68 = 3,173.84 : x
  2. Step 2: Convert to fraction form
    13,034.71/19,551.68 = 3,173.84/x
  3. Step 3: Cross multiply
    13,034.71x = 19,551.68 × 3,173.84
  4. Step 4: Simplify right side
    13,034.71x = 62,053,952.93
  5. Step 5: Solve for x
    x = 62,053,952.93/13,034.71
  6. Step 6: Final answer
    x = 4,760.67

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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.