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Finding the Fourth Proportional to 28,257.50, 42,393.81 and 9,789.50

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Solution

The fourth proportional to 28,257.50, 42,393.81 and 9,789.50 is: 14,686.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,257.50 : 42,393.81 = 9,789.50 : x
  2. Step 2: Convert to fraction form
    28,257.50/42,393.81 = 9,789.50/x
  3. Step 3: Cross multiply
    28,257.50x = 42,393.81 × 9,789.50
  4. Step 4: Simplify right side
    28,257.50x = 415,014,203.00
  5. Step 5: Solve for x
    x = 415,014,203.00/28,257.50
  6. Step 6: Final answer
    x = 14,686.87

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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.