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Finding the Fourth Proportional to 17,632.22, 24,333.58 and 11,653.40

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Solution

The fourth proportional to 17,632.22, 24,333.58 and 11,653.40 is: 16,082.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,632.22 : 24,333.58 = 11,653.40 : x
  2. Step 2: Convert to fraction form
    17,632.22/24,333.58 = 11,653.40/x
  3. Step 3: Cross multiply
    17,632.22x = 24,333.58 × 11,653.40
  4. Step 4: Simplify right side
    17,632.22x = 283,568,941.17
  5. Step 5: Solve for x
    x = 283,568,941.17/17,632.22
  6. Step 6: Final answer
    x = 16,082.43

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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.