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Finding the Fourth Proportional to 14,563.98, 20,095.80 and 8,189.67

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Solution

The fourth proportional to 14,563.98, 20,095.80 and 8,189.67 is: 11,300.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563.98 : 20,095.80 = 8,189.67 : x
  2. Step 2: Convert to fraction form
    14,563.98/20,095.80 = 8,189.67/x
  3. Step 3: Cross multiply
    14,563.98x = 20,095.80 × 8,189.67
  4. Step 4: Simplify right side
    14,563.98x = 164,577,930.25
  5. Step 5: Solve for x
    x = 164,577,930.25/14,563.98
  6. Step 6: Final answer
    x = 11,300.34

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1.5x scale

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.