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Finding the Fourth Proportional to 13,464, 20,196.81 and 4,230

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Solution

The fourth proportional to 13,464, 20,196.81 and 4,230 is: 6,345.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,464 : 20,196.81 = 4,230 : x
  2. Step 2: Convert to fraction form
    13,464/20,196.81 = 4,230/x
  3. Step 3: Cross multiply
    13,464x = 20,196.81 × 4,230
  4. Step 4: Simplify right side
    13,464x = 85,432,506.30
  5. Step 5: Solve for x
    x = 85,432,506.30/13,464
  6. Step 6: Final answer
    x = 6,345.25

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Why These Related Problems?

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