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Finding the Fourth Proportional to 19,616.72, 29,424.12 and 7,771.28

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Solution

The fourth proportional to 19,616.72, 29,424.12 and 7,771.28 is: 11,656.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,616.72 : 29,424.12 = 7,771.28 : x
  2. Step 2: Convert to fraction form
    19,616.72/29,424.12 = 7,771.28/x
  3. Step 3: Cross multiply
    19,616.72x = 29,424.12 × 7,771.28
  4. Step 4: Simplify right side
    19,616.72x = 228,663,075.27
  5. Step 5: Solve for x
    x = 228,663,075.27/19,616.72
  6. Step 6: Final answer
    x = 11,656.54

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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.