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Finding the Fourth Proportional to 23,090.61, 31,863.12 and 13,021.53

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Solution

The fourth proportional to 23,090.61, 31,863.12 and 13,021.53 is: 17,968.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,090.61 : 31,863.12 = 13,021.53 : x
  2. Step 2: Convert to fraction form
    23,090.61/31,863.12 = 13,021.53/x
  3. Step 3: Cross multiply
    23,090.61x = 31,863.12 × 13,021.53
  4. Step 4: Simplify right side
    23,090.61x = 414,906,572.97
  5. Step 5: Solve for x
    x = 414,906,572.97/23,090.61
  6. Step 6: Final answer
    x = 17,968.63

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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.