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Finding the Fourth Proportional to 13,023.56, 19,536.31 and 5,232.40

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Solution

The fourth proportional to 13,023.56, 19,536.31 and 5,232.40 is: 7,848.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.56 : 19,536.31 = 5,232.40 : x
  2. Step 2: Convert to fraction form
    13,023.56/19,536.31 = 5,232.40/x
  3. Step 3: Cross multiply
    13,023.56x = 19,536.31 × 5,232.40
  4. Step 4: Simplify right side
    13,023.56x = 102,221,746.14
  5. Step 5: Solve for x
    x = 102,221,746.14/13,023.56
  6. Step 6: Final answer
    x = 7,848.98

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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.