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Finding the Fourth Proportional to 13,322.81, 19,982.80 and 7,076.19

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Solution

The fourth proportional to 13,322.81, 19,982.80 and 7,076.19 is: 10,613.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,322.81 : 19,982.80 = 7,076.19 : x
  2. Step 2: Convert to fraction form
    13,322.81/19,982.80 = 7,076.19/x
  3. Step 3: Cross multiply
    13,322.81x = 19,982.80 × 7,076.19
  4. Step 4: Simplify right side
    13,322.81x = 141,402,173.31
  5. Step 5: Solve for x
    x = 141,402,173.31/13,322.81
  6. Step 6: Final answer
    x = 10,613.54

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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.