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Finding the Fourth Proportional to 28,504.90, 42,753.30 and 9,785.80

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Solution

The fourth proportional to 28,504.90, 42,753.30 and 9,785.80 is: 14,677.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,504.90 : 42,753.30 = 9,785.80 : x
  2. Step 2: Convert to fraction form
    28,504.90/42,753.30 = 9,785.80/x
  3. Step 3: Cross multiply
    28,504.90x = 42,753.30 × 9,785.80
  4. Step 4: Simplify right side
    28,504.90x = 418,375,243.14
  5. Step 5: Solve for x
    x = 418,375,243.14/28,504.90
  6. Step 6: Final answer
    x = 14,677.31

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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.