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Finding the Fourth Proportional to 14,555.75, 20,087.01 and 8,506.35

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Solution

The fourth proportional to 14,555.75, 20,087.01 and 8,506.35 is: 11,738.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,555.75 : 20,087.01 = 8,506.35 : x
  2. Step 2: Convert to fraction form
    14,555.75/20,087.01 = 8,506.35/x
  3. Step 3: Cross multiply
    14,555.75x = 20,087.01 × 8,506.35
  4. Step 4: Simplify right side
    14,555.75x = 170,867,137.51
  5. Step 5: Solve for x
    x = 170,867,137.51/14,555.75
  6. Step 6: Final answer
    x = 11,738.81

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Why These Related Problems?

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