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Finding the Fourth Proportional to 13,085.14, 19,614.07 and 5,683.34

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Solution

The fourth proportional to 13,085.14, 19,614.07 and 5,683.34 is: 8,519.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,085.14 : 19,614.07 = 5,683.34 : x
  2. Step 2: Convert to fraction form
    13,085.14/19,614.07 = 5,683.34/x
  3. Step 3: Cross multiply
    13,085.14x = 19,614.07 × 5,683.34
  4. Step 4: Simplify right side
    13,085.14x = 111,473,428.59
  5. Step 5: Solve for x
    x = 111,473,428.59/13,085.14
  6. Step 6: Final answer
    x = 8,519.09

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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.