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Finding the Fourth Proportional to 22,372.32, 33,512.40 and 13,116

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Solution

The fourth proportional to 22,372.32, 33,512.40 and 13,116 is: 19,646.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,372.32 : 33,512.40 = 13,116 : x
  2. Step 2: Convert to fraction form
    22,372.32/33,512.40 = 13,116/x
  3. Step 3: Cross multiply
    22,372.32x = 33,512.40 × 13,116
  4. Step 4: Simplify right side
    22,372.32x = 439,548,638.40
  5. Step 5: Solve for x
    x = 439,548,638.40/22,372.32
  6. Step 6: Final answer
    x = 19,646.99

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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.