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Finding the Fourth Proportional to 13,023.72, 17,972.46 and 7,055.16

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Solution

The fourth proportional to 13,023.72, 17,972.46 and 7,055.16 is: 9,735.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.72 : 17,972.46 = 7,055.16 : x
  2. Step 2: Convert to fraction form
    13,023.72/17,972.46 = 7,055.16/x
  3. Step 3: Cross multiply
    13,023.72x = 17,972.46 × 7,055.16
  4. Step 4: Simplify right side
    13,023.72x = 126,798,580.89
  5. Step 5: Solve for x
    x = 126,798,580.89/13,023.72
  6. Step 6: Final answer
    x = 9,735.97

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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.