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Finding the Fourth Proportional to 19,708.62, 29,524.02 and 14,783.82

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Solution

The fourth proportional to 19,708.62, 29,524.02 and 14,783.82 is: 22,146.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,708.62 : 29,524.02 = 14,783.82 : x
  2. Step 2: Convert to fraction form
    19,708.62/29,524.02 = 14,783.82/x
  3. Step 3: Cross multiply
    19,708.62x = 29,524.02 × 14,783.82
  4. Step 4: Simplify right side
    19,708.62x = 436,477,797.36
  5. Step 5: Solve for x
    x = 436,477,797.36/19,708.62
  6. Step 6: Final answer
    x = 22,146.54

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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.