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Finding the Fourth Proportional to 17,986.03, 24,820.74 and 10,028.08

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Solution

The fourth proportional to 17,986.03, 24,820.74 and 10,028.08 is: 13,838.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,986.03 : 24,820.74 = 10,028.08 : x
  2. Step 2: Convert to fraction form
    17,986.03/24,820.74 = 10,028.08/x
  3. Step 3: Cross multiply
    17,986.03x = 24,820.74 × 10,028.08
  4. Step 4: Simplify right side
    17,986.03x = 248,904,366.38
  5. Step 5: Solve for x
    x = 248,904,366.38/17,986.03
  6. Step 6: Final answer
    x = 13,838.76

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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.