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Finding the Fourth Proportional to 22,659.89, 31,270.62 and 12,589.26

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Solution

The fourth proportional to 22,659.89, 31,270.62 and 12,589.26 is: 17,373.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,659.89 : 31,270.62 = 12,589.26 : x
  2. Step 2: Convert to fraction form
    22,659.89/31,270.62 = 12,589.26/x
  3. Step 3: Cross multiply
    22,659.89x = 31,270.62 × 12,589.26
  4. Step 4: Simplify right side
    22,659.89x = 393,673,965.54
  5. Step 5: Solve for x
    x = 393,673,965.54/22,659.89
  6. Step 6: Final answer
    x = 17,373.16

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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.