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Finding the Fourth Proportional to 14,184, 21,276 and 3,795.52

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Solution

The fourth proportional to 14,184, 21,276 and 3,795.52 is: 5,693.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,184 : 21,276 = 3,795.52 : x
  2. Step 2: Convert to fraction form
    14,184/21,276 = 3,795.52/x
  3. Step 3: Cross multiply
    14,184x = 21,276 × 3,795.52
  4. Step 4: Simplify right side
    14,184x = 80,753,483.52
  5. Step 5: Solve for x
    x = 80,753,483.52/14,184
  6. Step 6: Final answer
    x = 5,693.28

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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.