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Finding the Fourth Proportional to 23,131.19, 31,921.14 and 13,699.14

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Solution

The fourth proportional to 23,131.19, 31,921.14 and 13,699.14 is: 18,904.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,131.19 : 31,921.14 = 13,699.14 : x
  2. Step 2: Convert to fraction form
    23,131.19/31,921.14 = 13,699.14/x
  3. Step 3: Cross multiply
    23,131.19x = 31,921.14 × 13,699.14
  4. Step 4: Simplify right side
    23,131.19x = 437,292,165.82
  5. Step 5: Solve for x
    x = 437,292,165.82/23,131.19
  6. Step 6: Final answer
    x = 18,904.87

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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.