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Finding the Fourth Proportional to 13,025.22, 17,967.63 and 7,719.06

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Solution

The fourth proportional to 13,025.22, 17,967.63 and 7,719.06 is: 10,648.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,025.22 : 17,967.63 = 7,719.06 : x
  2. Step 2: Convert to fraction form
    13,025.22/17,967.63 = 7,719.06/x
  3. Step 3: Cross multiply
    13,025.22x = 17,967.63 × 7,719.06
  4. Step 4: Simplify right side
    13,025.22x = 138,693,214.03
  5. Step 5: Solve for x
    x = 138,693,214.03/13,025.22
  6. Step 6: Final answer
    x = 10,648.05

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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.