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Finding the Fourth Proportional to 12,196.07, 18,294.10 and 2,962.07

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Solution

The fourth proportional to 12,196.07, 18,294.10 and 2,962.07 is: 4,443.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.07 : 18,294.10 = 2,962.07 : x
  2. Step 2: Convert to fraction form
    12,196.07/18,294.10 = 2,962.07/x
  3. Step 3: Cross multiply
    12,196.07x = 18,294.10 × 2,962.07
  4. Step 4: Simplify right side
    12,196.07x = 54,188,298.51
  5. Step 5: Solve for x
    x = 54,188,298.51/12,196.07
  6. Step 6: Final answer
    x = 4,443.10

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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.