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Finding the Fourth Proportional to 17,633.08, 24,331.08 and 10,558

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Solution

The fourth proportional to 17,633.08, 24,331.08 and 10,558 is: 14,568.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,633.08 : 24,331.08 = 10,558 : x
  2. Step 2: Convert to fraction form
    17,633.08/24,331.08 = 10,558/x
  3. Step 3: Cross multiply
    17,633.08x = 24,331.08 × 10,558
  4. Step 4: Simplify right side
    17,633.08x = 256,887,542.64
  5. Step 5: Solve for x
    x = 256,887,542.64/17,633.08
  6. Step 6: Final answer
    x = 14,568.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.