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Finding the Fourth Proportional to 30,658.88, 45,993.12 and 9,884.48

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Solution

The fourth proportional to 30,658.88, 45,993.12 and 9,884.48 is: 14,828.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,658.88 : 45,993.12 = 9,884.48 : x
  2. Step 2: Convert to fraction form
    30,658.88/45,993.12 = 9,884.48/x
  3. Step 3: Cross multiply
    30,658.88x = 45,993.12 × 9,884.48
  4. Step 4: Simplify right side
    30,658.88x = 454,618,074.78
  5. Step 5: Solve for x
    x = 454,618,074.78/30,658.88
  6. Step 6: Final answer
    x = 14,828.27

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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.