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Finding the Fourth Proportional to 12,635.62, 17,437.65 and 7,046.50

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Solution

The fourth proportional to 12,635.62, 17,437.65 and 7,046.50 is: 9,724.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,635.62 : 17,437.65 = 7,046.50 : x
  2. Step 2: Convert to fraction form
    12,635.62/17,437.65 = 7,046.50/x
  3. Step 3: Cross multiply
    12,635.62x = 17,437.65 × 7,046.50
  4. Step 4: Simplify right side
    12,635.62x = 122,874,400.73
  5. Step 5: Solve for x
    x = 122,874,400.73/12,635.62
  6. Step 6: Final answer
    x = 9,724.45

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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.