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Finding the Fourth Proportional to 14,494.56, 21,742.04 and 4,106.30

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Solution

The fourth proportional to 14,494.56, 21,742.04 and 4,106.30 is: 6,159.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,494.56 : 21,742.04 = 4,106.30 : x
  2. Step 2: Convert to fraction form
    14,494.56/21,742.04 = 4,106.30/x
  3. Step 3: Cross multiply
    14,494.56x = 21,742.04 × 4,106.30
  4. Step 4: Simplify right side
    14,494.56x = 89,279,338.85
  5. Step 5: Solve for x
    x = 89,279,338.85/14,494.56
  6. Step 6: Final answer
    x = 6,159.51

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