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Finding the Fourth Proportional to 24,776.81, 34,193.69 and 14,021.69

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Solution

The fourth proportional to 24,776.81, 34,193.69 and 14,021.69 is: 19,350.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,776.81 : 34,193.69 = 14,021.69 : x
  2. Step 2: Convert to fraction form
    24,776.81/34,193.69 = 14,021.69/x
  3. Step 3: Cross multiply
    24,776.81x = 34,193.69 × 14,021.69
  4. Step 4: Simplify right side
    24,776.81x = 479,453,321.14
  5. Step 5: Solve for x
    x = 479,453,321.14/24,776.81
  6. Step 6: Final answer
    x = 19,350.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.