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Finding the Fourth Proportional to 17,873, 24,661.08 and 9,913.52

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Solution

The fourth proportional to 17,873, 24,661.08 and 9,913.52 is: 13,678.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,873 : 24,661.08 = 9,913.52 : x
  2. Step 2: Convert to fraction form
    17,873/24,661.08 = 9,913.52/x
  3. Step 3: Cross multiply
    17,873x = 24,661.08 × 9,913.52
  4. Step 4: Simplify right side
    17,873x = 244,478,109.80
  5. Step 5: Solve for x
    x = 244,478,109.80/17,873
  6. Step 6: Final answer
    x = 13,678.63

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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.