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Finding the Fourth Proportional to 12,427.96, 17,147.76 and 9,072.60

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Solution

The fourth proportional to 12,427.96, 17,147.76 and 9,072.60 is: 12,518.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427.96 : 17,147.76 = 9,072.60 : x
  2. Step 2: Convert to fraction form
    12,427.96/17,147.76 = 9,072.60/x
  3. Step 3: Cross multiply
    12,427.96x = 17,147.76 × 9,072.60
  4. Step 4: Simplify right side
    12,427.96x = 155,574,767.38
  5. Step 5: Solve for x
    x = 155,574,767.38/12,427.96
  6. Step 6: Final answer
    x = 12,518.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.