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Finding the Fourth Proportional to 14,594.12, 20,137.86 and 8,219.64

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Solution

The fourth proportional to 14,594.12, 20,137.86 and 8,219.64 is: 11,341.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,594.12 : 20,137.86 = 8,219.64 : x
  2. Step 2: Convert to fraction form
    14,594.12/20,137.86 = 8,219.64/x
  3. Step 3: Cross multiply
    14,594.12x = 20,137.86 × 8,219.64
  4. Step 4: Simplify right side
    14,594.12x = 165,525,959.57
  5. Step 5: Solve for x
    x = 165,525,959.57/14,594.12
  6. Step 6: Final answer
    x = 11,341.96

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