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Finding the Fourth Proportional to 16,415.35, 24,623.07 and 5,884.94

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Solution

The fourth proportional to 16,415.35, 24,623.07 and 5,884.94 is: 8,827.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,415.35 : 24,623.07 = 5,884.94 : x
  2. Step 2: Convert to fraction form
    16,415.35/24,623.07 = 5,884.94/x
  3. Step 3: Cross multiply
    16,415.35x = 24,623.07 × 5,884.94
  4. Step 4: Simplify right side
    16,415.35x = 144,905,289.57
  5. Step 5: Solve for x
    x = 144,905,289.57/16,415.35
  6. Step 6: Final answer
    x = 8,827.43

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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.