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Finding the Fourth Proportional to 14,709.42, 20,298.99 and 8,421.90

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Solution

The fourth proportional to 14,709.42, 20,298.99 and 8,421.90 is: 11,622.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,709.42 : 20,298.99 = 8,421.90 : x
  2. Step 2: Convert to fraction form
    14,709.42/20,298.99 = 8,421.90/x
  3. Step 3: Cross multiply
    14,709.42x = 20,298.99 × 8,421.90
  4. Step 4: Simplify right side
    14,709.42x = 170,956,063.88
  5. Step 5: Solve for x
    x = 170,956,063.88/14,709.42
  6. Step 6: Final answer
    x = 11,622.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.