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Finding the Fourth Proportional to 22,648.40, 33,972.60 and 16,427.60

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Solution

The fourth proportional to 22,648.40, 33,972.60 and 16,427.60 is: 24,641.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,648.40 : 33,972.60 = 16,427.60 : x
  2. Step 2: Convert to fraction form
    22,648.40/33,972.60 = 16,427.60/x
  3. Step 3: Cross multiply
    22,648.40x = 33,972.60 × 16,427.60
  4. Step 4: Simplify right side
    22,648.40x = 558,088,283.76
  5. Step 5: Solve for x
    x = 558,088,283.76/22,648.40
  6. Step 6: Final answer
    x = 24,641.40

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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.