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Finding the Fourth Proportional to 14,551.84, 21,835.62 and 5,786.86

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Solution

The fourth proportional to 14,551.84, 21,835.62 and 5,786.86 is: 8,683.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,551.84 : 21,835.62 = 5,786.86 : x
  2. Step 2: Convert to fraction form
    14,551.84/21,835.62 = 5,786.86/x
  3. Step 3: Cross multiply
    14,551.84x = 21,835.62 × 5,786.86
  4. Step 4: Simplify right side
    14,551.84x = 126,359,675.95
  5. Step 5: Solve for x
    x = 126,359,675.95/14,551.84
  6. Step 6: Final answer
    x = 8,683.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.