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Finding the Fourth Proportional to 13,022.78, 17,971.31 and 7,054.10

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Solution

The fourth proportional to 13,022.78, 17,971.31 and 7,054.10 is: 9,734.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.78 : 17,971.31 = 7,054.10 : x
  2. Step 2: Convert to fraction form
    13,022.78/17,971.31 = 7,054.10/x
  3. Step 3: Cross multiply
    13,022.78x = 17,971.31 × 7,054.10
  4. Step 4: Simplify right side
    13,022.78x = 126,771,292.74
  5. Step 5: Solve for x
    x = 126,771,292.74/13,022.78
  6. Step 6: Final answer
    x = 9,734.58

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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.