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Finding the Fourth Proportional to 19,758.21, 29,604.41 and 13,902.53

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Solution

The fourth proportional to 19,758.21, 29,604.41 and 13,902.53 is: 20,830.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,758.21 : 29,604.41 = 13,902.53 : x
  2. Step 2: Convert to fraction form
    19,758.21/29,604.41 = 13,902.53/x
  3. Step 3: Cross multiply
    19,758.21x = 29,604.41 × 13,902.53
  4. Step 4: Simplify right side
    19,758.21x = 411,575,980.62
  5. Step 5: Solve for x
    x = 411,575,980.62/19,758.21
  6. Step 6: Final answer
    x = 20,830.63

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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.