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Finding the Fourth Proportional to 19,205.32, 28,823.82 and 14,849.32

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Solution

The fourth proportional to 19,205.32, 28,823.82 and 14,849.32 is: 22,286.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,205.32 : 28,823.82 = 14,849.32 : x
  2. Step 2: Convert to fraction form
    19,205.32/28,823.82 = 14,849.32/x
  3. Step 3: Cross multiply
    19,205.32x = 28,823.82 × 14,849.32
  4. Step 4: Simplify right side
    19,205.32x = 428,014,126.80
  5. Step 5: Solve for x
    x = 428,014,126.80/19,205.32
  6. Step 6: Final answer
    x = 22,286.23

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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.