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Finding the Fourth Proportional to 14,138.46, 21,204.45 and 6,349.50

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Solution

The fourth proportional to 14,138.46, 21,204.45 and 6,349.50 is: 9,522.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138.46 : 21,204.45 = 6,349.50 : x
  2. Step 2: Convert to fraction form
    14,138.46/21,204.45 = 6,349.50/x
  3. Step 3: Cross multiply
    14,138.46x = 21,204.45 × 6,349.50
  4. Step 4: Simplify right side
    14,138.46x = 134,637,655.28
  5. Step 5: Solve for x
    x = 134,637,655.28/14,138.46
  6. Step 6: Final answer
    x = 9,522.79

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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.