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Finding the Fourth Proportional to 12,816.48, 17,683.39 and 7,508.44

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Solution

The fourth proportional to 12,816.48, 17,683.39 and 7,508.44 is: 10,359.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816.48 : 17,683.39 = 7,508.44 : x
  2. Step 2: Convert to fraction form
    12,816.48/17,683.39 = 7,508.44/x
  3. Step 3: Cross multiply
    12,816.48x = 17,683.39 × 7,508.44
  4. Step 4: Simplify right side
    12,816.48x = 132,774,672.81
  5. Step 5: Solve for x
    x = 132,774,672.81/12,816.48
  6. Step 6: Final answer
    x = 10,359.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.