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Finding the Fourth Proportional to 12,974.01, 17,902.62 and 7,308.33

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Solution

The fourth proportional to 12,974.01, 17,902.62 and 7,308.33 is: 10,084.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,974.01 : 17,902.62 = 7,308.33 : x
  2. Step 2: Convert to fraction form
    12,974.01/17,902.62 = 7,308.33/x
  3. Step 3: Cross multiply
    12,974.01x = 17,902.62 × 7,308.33
  4. Step 4: Simplify right side
    12,974.01x = 130,838,254.82
  5. Step 5: Solve for x
    x = 130,838,254.82/12,974.01
  6. Step 6: Final answer
    x = 10,084.64

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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.