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Finding the Fourth Proportional to 14,692.70, 20,260.23 and 10,442.63

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Solution

The fourth proportional to 14,692.70, 20,260.23 and 10,442.63 is: 14,399.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,692.70 : 20,260.23 = 10,442.63 : x
  2. Step 2: Convert to fraction form
    14,692.70/20,260.23 = 10,442.63/x
  3. Step 3: Cross multiply
    14,692.70x = 20,260.23 × 10,442.63
  4. Step 4: Simplify right side
    14,692.70x = 211,570,085.60
  5. Step 5: Solve for x
    x = 211,570,085.60/14,692.70
  6. Step 6: Final answer
    x = 14,399.67

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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.