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Finding the Fourth Proportional to 22,967.39, 31,693.06 and 13,896.13

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Solution

The fourth proportional to 22,967.39, 31,693.06 and 13,896.13 is: 19,175.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,967.39 : 31,693.06 = 13,896.13 : x
  2. Step 2: Convert to fraction form
    22,967.39/31,693.06 = 13,896.13/x
  3. Step 3: Cross multiply
    22,967.39x = 31,693.06 × 13,896.13
  4. Step 4: Simplify right side
    22,967.39x = 440,410,881.86
  5. Step 5: Solve for x
    x = 440,410,881.86/22,967.39
  6. Step 6: Final answer
    x = 19,175.49

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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.