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Finding the Fourth Proportional to 12,596.50, 18,881.99 and 5,205.05

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Solution

The fourth proportional to 12,596.50, 18,881.99 and 5,205.05 is: 7,802.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.50 : 18,881.99 = 5,205.05 : x
  2. Step 2: Convert to fraction form
    12,596.50/18,881.99 = 5,205.05/x
  3. Step 3: Cross multiply
    12,596.50x = 18,881.99 × 5,205.05
  4. Step 4: Simplify right side
    12,596.50x = 98,281,702.05
  5. Step 5: Solve for x
    x = 98,281,702.05/12,596.50
  6. Step 6: Final answer
    x = 7,802.30

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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.