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Finding the Fourth Proportional to 14,918.08, 20,586.94 and 8,204.16

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Solution

The fourth proportional to 14,918.08, 20,586.94 and 8,204.16 is: 11,321.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,918.08 : 20,586.94 = 8,204.16 : x
  2. Step 2: Convert to fraction form
    14,918.08/20,586.94 = 8,204.16/x
  3. Step 3: Cross multiply
    14,918.08x = 20,586.94 × 8,204.16
  4. Step 4: Simplify right side
    14,918.08x = 168,898,549.67
  5. Step 5: Solve for x
    x = 168,898,549.67/14,918.08
  6. Step 6: Final answer
    x = 11,321.74

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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.