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Finding the Fourth Proportional to 17,958, 24,781.54 and 10,000.22

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Solution

The fourth proportional to 17,958, 24,781.54 and 10,000.22 is: 13,800.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,958 : 24,781.54 = 10,000.22 : x
  2. Step 2: Convert to fraction form
    17,958/24,781.54 = 10,000.22/x
  3. Step 3: Cross multiply
    17,958x = 24,781.54 × 10,000.22
  4. Step 4: Simplify right side
    17,958x = 247,820,851.94
  5. Step 5: Solve for x
    x = 247,820,851.94/17,958
  6. Step 6: Final answer
    x = 13,800.03

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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.