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Finding the Fourth Proportional to 24,065.84, 36,074.16 and 9,268.97

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Solution

The fourth proportional to 24,065.84, 36,074.16 and 9,268.97 is: 13,893.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,065.84 : 36,074.16 = 9,268.97 : x
  2. Step 2: Convert to fraction form
    24,065.84/36,074.16 = 9,268.97/x
  3. Step 3: Cross multiply
    24,065.84x = 36,074.16 × 9,268.97
  4. Step 4: Simplify right side
    24,065.84x = 334,370,126.44
  5. Step 5: Solve for x
    x = 334,370,126.44/24,065.84
  6. Step 6: Final answer
    x = 13,893.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.