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Finding the Fourth Proportional to 14,594.40, 20,137.55 and 8,220.51

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Solution

The fourth proportional to 14,594.40, 20,137.55 and 8,220.51 is: 11,342.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,594.40 : 20,137.55 = 8,220.51 : x
  2. Step 2: Convert to fraction form
    14,594.40/20,137.55 = 8,220.51/x
  3. Step 3: Cross multiply
    14,594.40x = 20,137.55 × 8,220.51
  4. Step 4: Simplify right side
    14,594.40x = 165,540,890.05
  5. Step 5: Solve for x
    x = 165,540,890.05/14,594.40
  6. Step 6: Final answer
    x = 11,342.77

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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.