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Finding the Fourth Proportional to 19,423.98, 29,151.21 and 13,542.30

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Solution

The fourth proportional to 19,423.98, 29,151.21 and 13,542.30 is: 20,324.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,423.98 : 29,151.21 = 13,542.30 : x
  2. Step 2: Convert to fraction form
    19,423.98/29,151.21 = 13,542.30/x
  3. Step 3: Cross multiply
    19,423.98x = 29,151.21 × 13,542.30
  4. Step 4: Simplify right side
    19,423.98x = 394,774,431.18
  5. Step 5: Solve for x
    x = 394,774,431.18/19,423.98
  6. Step 6: Final answer
    x = 20,324.08

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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.