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Finding the Fourth Proportional to 19,882.74, 29,820.87 and 6,028.50

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Solution

The fourth proportional to 19,882.74, 29,820.87 and 6,028.50 is: 9,041.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,882.74 : 29,820.87 = 6,028.50 : x
  2. Step 2: Convert to fraction form
    19,882.74/29,820.87 = 6,028.50/x
  3. Step 3: Cross multiply
    19,882.74x = 29,820.87 × 6,028.50
  4. Step 4: Simplify right side
    19,882.74x = 179,775,114.80
  5. Step 5: Solve for x
    x = 179,775,114.80/19,882.74
  6. Step 6: Final answer
    x = 9,041.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.