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Finding the Fourth Proportional to 20,458.98, 30,633.75 and 11,681.82

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Solution

The fourth proportional to 20,458.98, 30,633.75 and 11,681.82 is: 17,491.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,458.98 : 30,633.75 = 11,681.82 : x
  2. Step 2: Convert to fraction form
    20,458.98/30,633.75 = 11,681.82/x
  3. Step 3: Cross multiply
    20,458.98x = 30,633.75 × 11,681.82
  4. Step 4: Simplify right side
    20,458.98x = 357,857,953.43
  5. Step 5: Solve for x
    x = 357,857,953.43/20,458.98
  6. Step 6: Final answer
    x = 17,491.49

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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.