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Finding the Fourth Proportional to 12,207.56, 18,307.67 and 5,187.49

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Solution

The fourth proportional to 12,207.56, 18,307.67 and 5,187.49 is: 7,779.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.56 : 18,307.67 = 5,187.49 : x
  2. Step 2: Convert to fraction form
    12,207.56/18,307.67 = 5,187.49/x
  3. Step 3: Cross multiply
    12,207.56x = 18,307.67 × 5,187.49
  4. Step 4: Simplify right side
    12,207.56x = 94,970,915.50
  5. Step 5: Solve for x
    x = 94,970,915.50/12,207.56
  6. Step 6: Final answer
    x = 7,779.68

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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.