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Finding the Fourth Proportional to 24,454.94, 36,684.37 and 7,817.34

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Solution

The fourth proportional to 24,454.94, 36,684.37 and 7,817.34 is: 11,726.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,454.94 : 36,684.37 = 7,817.34 : x
  2. Step 2: Convert to fraction form
    24,454.94/36,684.37 = 7,817.34/x
  3. Step 3: Cross multiply
    24,454.94x = 36,684.37 × 7,817.34
  4. Step 4: Simplify right side
    24,454.94x = 286,774,192.98
  5. Step 5: Solve for x
    x = 286,774,192.98/24,454.94
  6. Step 6: Final answer
    x = 11,726.64

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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.