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Finding the Fourth Proportional to 12,188.36, 18,283.91 and 4,791.84

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Solution

The fourth proportional to 12,188.36, 18,283.91 and 4,791.84 is: 7,188.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.36 : 18,283.91 = 4,791.84 : x
  2. Step 2: Convert to fraction form
    12,188.36/18,283.91 = 4,791.84/x
  3. Step 3: Cross multiply
    12,188.36x = 18,283.91 × 4,791.84
  4. Step 4: Simplify right side
    12,188.36x = 87,613,547.34
  5. Step 5: Solve for x
    x = 87,613,547.34/12,188.36
  6. Step 6: Final answer
    x = 7,188.30

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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.