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Finding the Fourth Proportional to 17,887.68, 24,684.36 and 9,930.24

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Solution

The fourth proportional to 17,887.68, 24,684.36 and 9,930.24 is: 13,703.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,887.68 : 24,684.36 = 9,930.24 : x
  2. Step 2: Convert to fraction form
    17,887.68/24,684.36 = 9,930.24/x
  3. Step 3: Cross multiply
    17,887.68x = 24,684.36 × 9,930.24
  4. Step 4: Simplify right side
    17,887.68x = 245,121,619.05
  5. Step 5: Solve for x
    x = 245,121,619.05/17,887.68
  6. Step 6: Final answer
    x = 13,703.38

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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.