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Finding the Fourth Proportional to 11,744.29, 17,595.90 and 9,782.51

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Solution

The fourth proportional to 11,744.29, 17,595.90 and 9,782.51 is: 14,656.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.29 : 17,595.90 = 9,782.51 : x
  2. Step 2: Convert to fraction form
    11,744.29/17,595.90 = 9,782.51/x
  3. Step 3: Cross multiply
    11,744.29x = 17,595.90 × 9,782.51
  4. Step 4: Simplify right side
    11,744.29x = 172,131,979.73
  5. Step 5: Solve for x
    x = 172,131,979.73/11,744.29
  6. Step 6: Final answer
    x = 14,656.65

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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.