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Finding the Fourth Proportional to 12,376.50, 18,518.25 and 8,685.93

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Solution

The fourth proportional to 12,376.50, 18,518.25 and 8,685.93 is: 12,996.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,376.50 : 18,518.25 = 8,685.93 : x
  2. Step 2: Convert to fraction form
    12,376.50/18,518.25 = 8,685.93/x
  3. Step 3: Cross multiply
    12,376.50x = 18,518.25 × 8,685.93
  4. Step 4: Simplify right side
    12,376.50x = 160,848,223.22
  5. Step 5: Solve for x
    x = 160,848,223.22/12,376.50
  6. Step 6: Final answer
    x = 12,996.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.