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Finding the Fourth Proportional to 12,106.85, 18,156.94 and 8,586.45

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Solution

The fourth proportional to 12,106.85, 18,156.94 and 8,586.45 is: 12,877.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.85 : 18,156.94 = 8,586.45 : x
  2. Step 2: Convert to fraction form
    12,106.85/18,156.94 = 8,586.45/x
  3. Step 3: Cross multiply
    12,106.85x = 18,156.94 × 8,586.45
  4. Step 4: Simplify right side
    12,106.85x = 155,903,636.00
  5. Step 5: Solve for x
    x = 155,903,636.00/12,106.85
  6. Step 6: Final answer
    x = 12,877.31

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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.