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Finding the Fourth Proportional to 22,099.84, 30,497.36 and 12,028.50

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Solution

The fourth proportional to 22,099.84, 30,497.36 and 12,028.50 is: 16,599.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,099.84 : 30,497.36 = 12,028.50 : x
  2. Step 2: Convert to fraction form
    22,099.84/30,497.36 = 12,028.50/x
  3. Step 3: Cross multiply
    22,099.84x = 30,497.36 × 12,028.50
  4. Step 4: Simplify right side
    22,099.84x = 366,837,548.98
  5. Step 5: Solve for x
    x = 366,837,548.98/22,099.84
  6. Step 6: Final answer
    x = 16,599.10

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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.