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Finding the Fourth Proportional to 13,023.44, 19,536.07 and 5,232.25

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Solution

The fourth proportional to 13,023.44, 19,536.07 and 5,232.25 is: 7,848.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.44 : 19,536.07 = 5,232.25 : x
  2. Step 2: Convert to fraction form
    13,023.44/19,536.07 = 5,232.25/x
  3. Step 3: Cross multiply
    13,023.44x = 19,536.07 × 5,232.25
  4. Step 4: Simplify right side
    13,023.44x = 102,217,602.26
  5. Step 5: Solve for x
    x = 102,217,602.26/13,023.44
  6. Step 6: Final answer
    x = 7,848.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.