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Finding the Fourth Proportional to 23,090.70, 31,865.13 and 13,659.30

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Solution

The fourth proportional to 23,090.70, 31,865.13 and 13,659.30 is: 18,849.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,090.70 : 31,865.13 = 13,659.30 : x
  2. Step 2: Convert to fraction form
    23,090.70/31,865.13 = 13,659.30/x
  3. Step 3: Cross multiply
    23,090.70x = 31,865.13 × 13,659.30
  4. Step 4: Simplify right side
    23,090.70x = 435,255,370.21
  5. Step 5: Solve for x
    x = 435,255,370.21/23,090.70
  6. Step 6: Final answer
    x = 18,849.81

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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.