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Finding the Fourth Proportional to 12,683.40, 19,022.40 and 5,663.40

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Solution

The fourth proportional to 12,683.40, 19,022.40 and 5,663.40 is: 8,493.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683.40 : 19,022.40 = 5,663.40 : x
  2. Step 2: Convert to fraction form
    12,683.40/19,022.40 = 5,663.40/x
  3. Step 3: Cross multiply
    12,683.40x = 19,022.40 × 5,663.40
  4. Step 4: Simplify right side
    12,683.40x = 107,731,460.16
  5. Step 5: Solve for x
    x = 107,731,460.16/12,683.40
  6. Step 6: Final answer
    x = 8,493.89

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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.