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Finding the Fourth Proportional to 22,172.36, 33,260.34 and 6,590

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Solution

The fourth proportional to 22,172.36, 33,260.34 and 6,590 is: 9,885.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,172.36 : 33,260.34 = 6,590 : x
  2. Step 2: Convert to fraction form
    22,172.36/33,260.34 = 6,590/x
  3. Step 3: Cross multiply
    22,172.36x = 33,260.34 × 6,590
  4. Step 4: Simplify right side
    22,172.36x = 219,185,640.60
  5. Step 5: Solve for x
    x = 219,185,640.60/22,172.36
  6. Step 6: Final answer
    x = 9,885.53

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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.