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Finding the Fourth Proportional to 13,285.30, 19,903.65 and 8,085.10

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Solution

The fourth proportional to 13,285.30, 19,903.65 and 8,085.10 is: 12,112.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,285.30 : 19,903.65 = 8,085.10 : x
  2. Step 2: Convert to fraction form
    13,285.30/19,903.65 = 8,085.10/x
  3. Step 3: Cross multiply
    13,285.30x = 19,903.65 × 8,085.10
  4. Step 4: Simplify right side
    13,285.30x = 160,923,000.62
  5. Step 5: Solve for x
    x = 160,923,000.62/13,285.30
  6. Step 6: Final answer
    x = 12,112.86

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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.