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Finding the Fourth Proportional to 14,558.87, 20,085.54 and 8,184.00

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Solution

The fourth proportional to 14,558.87, 20,085.54 and 8,184.00 is: 11,290.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,558.87 : 20,085.54 = 8,184.00 : x
  2. Step 2: Convert to fraction form
    14,558.87/20,085.54 = 8,184.00/x
  3. Step 3: Cross multiply
    14,558.87x = 20,085.54 × 8,184.00
  4. Step 4: Simplify right side
    14,558.87x = 164,380,103.99
  5. Step 5: Solve for x
    x = 164,380,103.99/14,558.87
  6. Step 6: Final answer
    x = 11,290.72

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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.