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Finding the Fourth Proportional to 12,204.94, 18,307.41 and 2,970.94

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Solution

The fourth proportional to 12,204.94, 18,307.41 and 2,970.94 is: 4,456.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,204.94 : 18,307.41 = 2,970.94 : x
  2. Step 2: Convert to fraction form
    12,204.94/18,307.41 = 2,970.94/x
  3. Step 3: Cross multiply
    12,204.94x = 18,307.41 × 2,970.94
  4. Step 4: Simplify right side
    12,204.94x = 54,390,170.90
  5. Step 5: Solve for x
    x = 54,390,170.90/12,204.94
  6. Step 6: Final answer
    x = 4,456.41

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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.