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Finding the Fourth Proportional to 19,941.81, 29,916 and 7,466.19

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Solution

The fourth proportional to 19,941.81, 29,916 and 7,466.19 is: 11,200.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,941.81 : 29,916 = 7,466.19 : x
  2. Step 2: Convert to fraction form
    19,941.81/29,916 = 7,466.19/x
  3. Step 3: Cross multiply
    19,941.81x = 29,916 × 7,466.19
  4. Step 4: Simplify right side
    19,941.81x = 223,358,540.04
  5. Step 5: Solve for x
    x = 223,358,540.04/19,941.81
  6. Step 6: Final answer
    x = 11,200.51

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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.