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Finding the Fourth Proportional to 13,902.72, 19,180.96 and 7,930.08

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Solution

The fourth proportional to 13,902.72, 19,180.96 and 7,930.08 is: 10,940.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.72 : 19,180.96 = 7,930.08 : x
  2. Step 2: Convert to fraction form
    13,902.72/19,180.96 = 7,930.08/x
  3. Step 3: Cross multiply
    13,902.72x = 19,180.96 × 7,930.08
  4. Step 4: Simplify right side
    13,902.72x = 152,106,547.28
  5. Step 5: Solve for x
    x = 152,106,547.28/13,902.72
  6. Step 6: Final answer
    x = 10,940.78

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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.