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Finding the Fourth Proportional to 13,616.91, 20,421.05 and 4,380.75

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Solution

The fourth proportional to 13,616.91, 20,421.05 and 4,380.75 is: 6,569.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,616.91 : 20,421.05 = 4,380.75 : x
  2. Step 2: Convert to fraction form
    13,616.91/20,421.05 = 4,380.75/x
  3. Step 3: Cross multiply
    13,616.91x = 20,421.05 × 4,380.75
  4. Step 4: Simplify right side
    13,616.91x = 89,459,492.88
  5. Step 5: Solve for x
    x = 89,459,492.88/13,616.91
  6. Step 6: Final answer
    x = 6,569.74

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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.