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Finding the Fourth Proportional to 28,525.88, 42,771 and 10,974.80

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Solution

The fourth proportional to 28,525.88, 42,771 and 10,974.80 is: 16,455.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,525.88 : 42,771 = 10,974.80 : x
  2. Step 2: Convert to fraction form
    28,525.88/42,771 = 10,974.80/x
  3. Step 3: Cross multiply
    28,525.88x = 42,771 × 10,974.80
  4. Step 4: Simplify right side
    28,525.88x = 469,403,170.80
  5. Step 5: Solve for x
    x = 469,403,170.80/28,525.88
  6. Step 6: Final answer
    x = 16,455.34

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