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Finding the Fourth Proportional to 19,980.81, 29,971.28 and 5,189.85

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Solution

The fourth proportional to 19,980.81, 29,971.28 and 5,189.85 is: 7,784.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,980.81 : 29,971.28 = 5,189.85 : x
  2. Step 2: Convert to fraction form
    19,980.81/29,971.28 = 5,189.85/x
  3. Step 3: Cross multiply
    19,980.81x = 29,971.28 × 5,189.85
  4. Step 4: Simplify right side
    19,980.81x = 155,546,421.56
  5. Step 5: Solve for x
    x = 155,546,421.56/19,980.81
  6. Step 6: Final answer
    x = 7,784.79

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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.