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Finding the Fourth Proportional to 19,941.12, 29,916 and 7,460.64

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Solution

The fourth proportional to 19,941.12, 29,916 and 7,460.64 is: 11,192.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,941.12 : 29,916 = 7,460.64 : x
  2. Step 2: Convert to fraction form
    19,941.12/29,916 = 7,460.64/x
  3. Step 3: Cross multiply
    19,941.12x = 29,916 × 7,460.64
  4. Step 4: Simplify right side
    19,941.12x = 223,192,506.24
  5. Step 5: Solve for x
    x = 223,192,506.24/19,941.12
  6. Step 6: Final answer
    x = 11,192.58

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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.