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Finding the Fourth Proportional to 19,616.56, 29,424.56 and 4,825.92

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Solution

The fourth proportional to 19,616.56, 29,424.56 and 4,825.92 is: 7,238.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,616.56 : 29,424.56 = 4,825.92 : x
  2. Step 2: Convert to fraction form
    19,616.56/29,424.56 = 4,825.92/x
  3. Step 3: Cross multiply
    19,616.56x = 29,424.56 × 4,825.92
  4. Step 4: Simplify right side
    19,616.56x = 142,000,572.60
  5. Step 5: Solve for x
    x = 142,000,572.60/19,616.56
  6. Step 6: Final answer
    x = 7,238.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.