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Finding the Fourth Proportional to 13,022.60, 17,971.18 and 7,054.26

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Solution

The fourth proportional to 13,022.60, 17,971.18 and 7,054.26 is: 9,734.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.60 : 17,971.18 = 7,054.26 : x
  2. Step 2: Convert to fraction form
    13,022.60/17,971.18 = 7,054.26/x
  3. Step 3: Cross multiply
    13,022.60x = 17,971.18 × 7,054.26
  4. Step 4: Simplify right side
    13,022.60x = 126,773,376.23
  5. Step 5: Solve for x
    x = 126,773,376.23/13,022.60
  6. Step 6: Final answer
    x = 9,734.87

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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.