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Finding the Fourth Proportional to 13,624.08, 20,462.04 and 8,466

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Solution

The fourth proportional to 13,624.08, 20,462.04 and 8,466 is: 12,715.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,624.08 : 20,462.04 = 8,466 : x
  2. Step 2: Convert to fraction form
    13,624.08/20,462.04 = 8,466/x
  3. Step 3: Cross multiply
    13,624.08x = 20,462.04 × 8,466
  4. Step 4: Simplify right side
    13,624.08x = 173,231,630.64
  5. Step 5: Solve for x
    x = 173,231,630.64/13,624.08
  6. Step 6: Final answer
    x = 12,715.11

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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.