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Finding the Fourth Proportional to 19,860.68, 29,794.70 and 6,534.43

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Solution

The fourth proportional to 19,860.68, 29,794.70 and 6,534.43 is: 9,802.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,860.68 : 29,794.70 = 6,534.43 : x
  2. Step 2: Convert to fraction form
    19,860.68/29,794.70 = 6,534.43/x
  3. Step 3: Cross multiply
    19,860.68x = 29,794.70 × 6,534.43
  4. Step 4: Simplify right side
    19,860.68x = 194,691,199.88
  5. Step 5: Solve for x
    x = 194,691,199.88/19,860.68
  6. Step 6: Final answer
    x = 9,802.85

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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.