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Finding the Fourth Proportional to 14,936.85, 22,419.14 and 7,546.50

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Solution

The fourth proportional to 14,936.85, 22,419.14 and 7,546.50 is: 11,326.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,936.85 : 22,419.14 = 7,546.50 : x
  2. Step 2: Convert to fraction form
    14,936.85/22,419.14 = 7,546.50/x
  3. Step 3: Cross multiply
    14,936.85x = 22,419.14 × 7,546.50
  4. Step 4: Simplify right side
    14,936.85x = 169,186,002.28
  5. Step 5: Solve for x
    x = 169,186,002.28/14,936.85
  6. Step 6: Final answer
    x = 11,326.75

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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.