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Finding the Fourth Proportional to 19,776.42, 29,655.41 and 11,458.82

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Solution

The fourth proportional to 19,776.42, 29,655.41 and 11,458.82 is: 17,182.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,776.42 : 29,655.41 = 11,458.82 : x
  2. Step 2: Convert to fraction form
    19,776.42/29,655.41 = 11,458.82/x
  3. Step 3: Cross multiply
    19,776.42x = 29,655.41 × 11,458.82
  4. Step 4: Simplify right side
    19,776.42x = 339,816,022.06
  5. Step 5: Solve for x
    x = 339,816,022.06/19,776.42
  6. Step 6: Final answer
    x = 17,182.89

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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.