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Finding the Fourth Proportional to 19,381.08, 29,074.86 and 7,694.40

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Solution

The fourth proportional to 19,381.08, 29,074.86 and 7,694.40 is: 11,542.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,381.08 : 29,074.86 = 7,694.40 : x
  2. Step 2: Convert to fraction form
    19,381.08/29,074.86 = 7,694.40/x
  3. Step 3: Cross multiply
    19,381.08x = 29,074.86 × 7,694.40
  4. Step 4: Simplify right side
    19,381.08x = 223,713,602.78
  5. Step 5: Solve for x
    x = 223,713,602.78/19,381.08
  6. Step 6: Final answer
    x = 11,542.89

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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.