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Finding the Fourth Proportional to 28,564.37, 42,855.31 and 12,782.69

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Solution

The fourth proportional to 28,564.37, 42,855.31 and 12,782.69 is: 19,177.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,564.37 : 42,855.31 = 12,782.69 : x
  2. Step 2: Convert to fraction form
    28,564.37/42,855.31 = 12,782.69/x
  3. Step 3: Cross multiply
    28,564.37x = 42,855.31 × 12,782.69
  4. Step 4: Simplify right side
    28,564.37x = 547,805,896.35
  5. Step 5: Solve for x
    x = 547,805,896.35/28,564.37
  6. Step 6: Final answer
    x = 19,177.95

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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.