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Finding the Fourth Proportional to 19,462.59, 29,190.34 and 6,814.20

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Solution

The fourth proportional to 19,462.59, 29,190.34 and 6,814.20 is: 10,220.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,462.59 : 29,190.34 = 6,814.20 : x
  2. Step 2: Convert to fraction form
    19,462.59/29,190.34 = 6,814.20/x
  3. Step 3: Cross multiply
    19,462.59x = 29,190.34 × 6,814.20
  4. Step 4: Simplify right side
    19,462.59x = 198,908,814.83
  5. Step 5: Solve for x
    x = 198,908,814.83/19,462.59
  6. Step 6: Final answer
    x = 10,220.06

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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.