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Finding the Fourth Proportional to 12,207.83, 18,311.74 and 4,808.25

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Solution

The fourth proportional to 12,207.83, 18,311.74 and 4,808.25 is: 7,212.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.83 : 18,311.74 = 4,808.25 : x
  2. Step 2: Convert to fraction form
    12,207.83/18,311.74 = 4,808.25/x
  3. Step 3: Cross multiply
    12,207.83x = 18,311.74 × 4,808.25
  4. Step 4: Simplify right side
    12,207.83x = 88,047,411.83
  5. Step 5: Solve for x
    x = 88,047,411.83/12,207.83
  6. Step 6: Final answer
    x = 7,212.38

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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.