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Finding the Fourth Proportional to 23,090.61, 31,864.41 and 13,018.97

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Solution

The fourth proportional to 23,090.61, 31,864.41 and 13,018.97 is: 17,965.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,090.61 : 31,864.41 = 13,018.97 : x
  2. Step 2: Convert to fraction form
    23,090.61/31,864.41 = 13,018.97/x
  3. Step 3: Cross multiply
    23,090.61x = 31,864.41 × 13,018.97
  4. Step 4: Simplify right side
    23,090.61x = 414,841,573.44
  5. Step 5: Solve for x
    x = 414,841,573.44/23,090.61
  6. Step 6: Final answer
    x = 17,965.81

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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.