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Finding the Fourth Proportional to 14,719.22, 20,311.91 and 8,346.24

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Solution

The fourth proportional to 14,719.22, 20,311.91 and 8,346.24 is: 11,517.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,719.22 : 20,311.91 = 8,346.24 : x
  2. Step 2: Convert to fraction form
    14,719.22/20,311.91 = 8,346.24/x
  3. Step 3: Cross multiply
    14,719.22x = 20,311.91 × 8,346.24
  4. Step 4: Simplify right side
    14,719.22x = 169,528,075.72
  5. Step 5: Solve for x
    x = 169,528,075.72/14,719.22
  6. Step 6: Final answer
    x = 11,517.46

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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.