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Finding the Fourth Proportional to 22,098.25, 30,495.59 and 12,162.25

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Solution

The fourth proportional to 22,098.25, 30,495.59 and 12,162.25 is: 16,783.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,098.25 : 30,495.59 = 12,162.25 : x
  2. Step 2: Convert to fraction form
    22,098.25/30,495.59 = 12,162.25/x
  3. Step 3: Cross multiply
    22,098.25x = 30,495.59 × 12,162.25
  4. Step 4: Simplify right side
    22,098.25x = 370,894,989.48
  5. Step 5: Solve for x
    x = 370,894,989.48/22,098.25
  6. Step 6: Final answer
    x = 16,783.91

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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.