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Finding the Fourth Proportional to 12,592.83, 18,852.78 and 9,485.94

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Solution

The fourth proportional to 12,592.83, 18,852.78 and 9,485.94 is: 14,201.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,592.83 : 18,852.78 = 9,485.94 : x
  2. Step 2: Convert to fraction form
    12,592.83/18,852.78 = 9,485.94/x
  3. Step 3: Cross multiply
    12,592.83x = 18,852.78 × 9,485.94
  4. Step 4: Simplify right side
    12,592.83x = 178,836,339.91
  5. Step 5: Solve for x
    x = 178,836,339.91/12,592.83
  6. Step 6: Final answer
    x = 14,201.44

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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.