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Finding the Fourth Proportional to 14,653.85, 20,234.00 and 13,534.43

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Solution

The fourth proportional to 14,653.85, 20,234.00 and 13,534.43 is: 18,688.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,653.85 : 20,234.00 = 13,534.43 : x
  2. Step 2: Convert to fraction form
    14,653.85/20,234.00 = 13,534.43/x
  3. Step 3: Cross multiply
    14,653.85x = 20,234.00 × 13,534.43
  4. Step 4: Simplify right side
    14,653.85x = 273,855,589.29
  5. Step 5: Solve for x
    x = 273,855,589.29/14,653.85
  6. Step 6: Final answer
    x = 18,688.31

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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.