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Finding the Fourth Proportional to 23,424.60, 32,325.99 and 12,814.26

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Solution

The fourth proportional to 23,424.60, 32,325.99 and 12,814.26 is: 17,683.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,424.60 : 32,325.99 = 12,814.26 : x
  2. Step 2: Convert to fraction form
    23,424.60/32,325.99 = 12,814.26/x
  3. Step 3: Cross multiply
    23,424.60x = 32,325.99 × 12,814.26
  4. Step 4: Simplify right side
    23,424.60x = 414,233,640.62
  5. Step 5: Solve for x
    x = 414,233,640.62/23,424.60
  6. Step 6: Final answer
    x = 17,683.70

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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.