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Finding the Fourth Proportional to 22,269.98, 30,735.16 and 12,838.88

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Solution

The fourth proportional to 22,269.98, 30,735.16 and 12,838.88 is: 17,719.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,269.98 : 30,735.16 = 12,838.88 : x
  2. Step 2: Convert to fraction form
    22,269.98/30,735.16 = 12,838.88/x
  3. Step 3: Cross multiply
    22,269.98x = 30,735.16 × 12,838.88
  4. Step 4: Simplify right side
    22,269.98x = 394,604,845.25
  5. Step 5: Solve for x
    x = 394,604,845.25/22,269.98
  6. Step 6: Final answer
    x = 17,719.14

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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.