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Finding the Fourth Proportional to 24,456.21, 36,684.36 and 7,817.59

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Solution

The fourth proportional to 24,456.21, 36,684.36 and 7,817.59 is: 11,726.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,456.21 : 36,684.36 = 7,817.59 : x
  2. Step 2: Convert to fraction form
    24,456.21/36,684.36 = 7,817.59/x
  3. Step 3: Cross multiply
    24,456.21x = 36,684.36 × 7,817.59
  4. Step 4: Simplify right side
    24,456.21x = 286,783,128.99
  5. Step 5: Solve for x
    x = 286,783,128.99/24,456.21
  6. Step 6: Final answer
    x = 11,726.39

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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.