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Finding the Fourth Proportional to 14,138.80, 21,200.94 and 7,478.89

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Solution

The fourth proportional to 14,138.80, 21,200.94 and 7,478.89 is: 11,214.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138.80 : 21,200.94 = 7,478.89 : x
  2. Step 2: Convert to fraction form
    14,138.80/21,200.94 = 7,478.89/x
  3. Step 3: Cross multiply
    14,138.80x = 21,200.94 × 7,478.89
  4. Step 4: Simplify right side
    14,138.80x = 158,559,516.85
  5. Step 5: Solve for x
    x = 158,559,516.85/14,138.80
  6. Step 6: Final answer
    x = 11,214.50

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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.