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Finding the Fourth Proportional to 22,097.22, 30,495 and 12,667.62

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Solution

The fourth proportional to 22,097.22, 30,495 and 12,667.62 is: 17,481.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,097.22 : 30,495 = 12,667.62 : x
  2. Step 2: Convert to fraction form
    22,097.22/30,495 = 12,667.62/x
  3. Step 3: Cross multiply
    22,097.22x = 30,495 × 12,667.62
  4. Step 4: Simplify right side
    22,097.22x = 386,299,071.90
  5. Step 5: Solve for x
    x = 386,299,071.90/22,097.22
  6. Step 6: Final answer
    x = 17,481.80

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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.