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Finding the Fourth Proportional to 13,231.77, 18,258.39 and 7,567.98

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Solution

The fourth proportional to 13,231.77, 18,258.39 and 7,567.98 is: 10,442.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,231.77 : 18,258.39 = 7,567.98 : x
  2. Step 2: Convert to fraction form
    13,231.77/18,258.39 = 7,567.98/x
  3. Step 3: Cross multiply
    13,231.77x = 18,258.39 × 7,567.98
  4. Step 4: Simplify right side
    13,231.77x = 138,179,130.35
  5. Step 5: Solve for x
    x = 138,179,130.35/13,231.77
  6. Step 6: Final answer
    x = 10,442.98

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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.