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Finding the Fourth Proportional to 31,165.84, 43,009.14 and 17,019.28

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Solution

The fourth proportional to 31,165.84, 43,009.14 and 17,019.28 is: 23,486.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,165.84 : 43,009.14 = 17,019.28 : x
  2. Step 2: Convert to fraction form
    31,165.84/43,009.14 = 17,019.28/x
  3. Step 3: Cross multiply
    31,165.84x = 43,009.14 × 17,019.28
  4. Step 4: Simplify right side
    31,165.84x = 731,984,596.22
  5. Step 5: Solve for x
    x = 731,984,596.22/31,165.84
  6. Step 6: Final answer
    x = 23,486.76

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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.