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Finding the Fourth Proportional to 19,438.98, 29,171.34 and 10,680

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Solution

The fourth proportional to 19,438.98, 29,171.34 and 10,680 is: 16,027.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,438.98 : 29,171.34 = 10,680 : x
  2. Step 2: Convert to fraction form
    19,438.98/29,171.34 = 10,680/x
  3. Step 3: Cross multiply
    19,438.98x = 29,171.34 × 10,680
  4. Step 4: Simplify right side
    19,438.98x = 311,549,911.20
  5. Step 5: Solve for x
    x = 311,549,911.20/19,438.98
  6. Step 6: Final answer
    x = 16,027.07

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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.