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Finding the Fourth Proportional to 14,361, 21,550.14 and 6,153

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Solution

The fourth proportional to 14,361, 21,550.14 and 6,153 is: 9,233.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,361 : 21,550.14 = 6,153 : x
  2. Step 2: Convert to fraction form
    14,361/21,550.14 = 6,153/x
  3. Step 3: Cross multiply
    14,361x = 21,550.14 × 6,153
  4. Step 4: Simplify right side
    14,361x = 132,598,011.42
  5. Step 5: Solve for x
    x = 132,598,011.42/14,361
  6. Step 6: Final answer
    x = 9,233.20

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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.