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Finding the Fourth Proportional to 23,496.40, 32,408.04 and 19,954

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Solution

The fourth proportional to 23,496.40, 32,408.04 and 19,954 is: 27,522.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,496.40 : 32,408.04 = 19,954 : x
  2. Step 2: Convert to fraction form
    23,496.40/32,408.04 = 19,954/x
  3. Step 3: Cross multiply
    23,496.40x = 32,408.04 × 19,954
  4. Step 4: Simplify right side
    23,496.40x = 646,670,030.16
  5. Step 5: Solve for x
    x = 646,670,030.16/23,496.40
  6. Step 6: Final answer
    x = 27,522.09

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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.