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Finding the Fourth Proportional to 23,109.54, 31,891 and 13,038.08

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Solution

The fourth proportional to 23,109.54, 31,891 and 13,038.08 is: 17,992.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,109.54 : 31,891 = 13,038.08 : x
  2. Step 2: Convert to fraction form
    23,109.54/31,891 = 13,038.08/x
  3. Step 3: Cross multiply
    23,109.54x = 31,891 × 13,038.08
  4. Step 4: Simplify right side
    23,109.54x = 415,797,409.28
  5. Step 5: Solve for x
    x = 415,797,409.28/23,109.54
  6. Step 6: Final answer
    x = 17,992.46

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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.