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Finding the Fourth Proportional to 19,758.40, 29,604.69 and 13,902.71

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Solution

The fourth proportional to 19,758.40, 29,604.69 and 13,902.71 is: 20,830.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,758.40 : 29,604.69 = 13,902.71 : x
  2. Step 2: Convert to fraction form
    19,758.40/29,604.69 = 13,902.71/x
  3. Step 3: Cross multiply
    19,758.40x = 29,604.69 × 13,902.71
  4. Step 4: Simplify right side
    19,758.40x = 411,585,271.69
  5. Step 5: Solve for x
    x = 411,585,271.69/19,758.40
  6. Step 6: Final answer
    x = 20,830.90

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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.