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Finding the Fourth Proportional to 13,023.60, 17,972.56 and 7,055.26

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Solution

The fourth proportional to 13,023.60, 17,972.56 and 7,055.26 is: 9,736.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.60 : 17,972.56 = 7,055.26 : x
  2. Step 2: Convert to fraction form
    13,023.60/17,972.56 = 7,055.26/x
  3. Step 3: Cross multiply
    13,023.60x = 17,972.56 × 7,055.26
  4. Step 4: Simplify right side
    13,023.60x = 126,801,083.67
  5. Step 5: Solve for x
    x = 126,801,083.67/13,023.60
  6. Step 6: Final answer
    x = 9,736.25

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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.