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Finding the Fourth Proportional to 12,627.37, 17,423.73 and 7,590.38

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Solution

The fourth proportional to 12,627.37, 17,423.73 and 7,590.38 is: 10,473.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,627.37 : 17,423.73 = 7,590.38 : x
  2. Step 2: Convert to fraction form
    12,627.37/17,423.73 = 7,590.38/x
  3. Step 3: Cross multiply
    12,627.37x = 17,423.73 × 7,590.38
  4. Step 4: Simplify right side
    12,627.37x = 132,252,731.72
  5. Step 5: Solve for x
    x = 132,252,731.72/12,627.37
  6. Step 6: Final answer
    x = 10,473.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.