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Finding the Fourth Proportional to 14,560.50, 20,073.12 and 12,313.38

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Solution

The fourth proportional to 14,560.50, 20,073.12 and 12,313.38 is: 16,975.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,560.50 : 20,073.12 = 12,313.38 : x
  2. Step 2: Convert to fraction form
    14,560.50/20,073.12 = 12,313.38/x
  3. Step 3: Cross multiply
    14,560.50x = 20,073.12 × 12,313.38
  4. Step 4: Simplify right side
    14,560.50x = 247,167,954.35
  5. Step 5: Solve for x
    x = 247,167,954.35/14,560.50
  6. Step 6: Final answer
    x = 16,975.24

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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.