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Finding the Fourth Proportional to 13,427.70, 20,141.55 and 10,313.70

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Solution

The fourth proportional to 13,427.70, 20,141.55 and 10,313.70 is: 15,470.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,427.70 : 20,141.55 = 10,313.70 : x
  2. Step 2: Convert to fraction form
    13,427.70/20,141.55 = 10,313.70/x
  3. Step 3: Cross multiply
    13,427.70x = 20,141.55 × 10,313.70
  4. Step 4: Simplify right side
    13,427.70x = 207,733,904.24
  5. Step 5: Solve for x
    x = 207,733,904.24/13,427.70
  6. Step 6: Final answer
    x = 15,470.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.