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Finding the Fourth Proportional to 12,923.82, 17,834.88 and 7,258.58

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Solution

The fourth proportional to 12,923.82, 17,834.88 and 7,258.58 is: 10,016.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,923.82 : 17,834.88 = 7,258.58 : x
  2. Step 2: Convert to fraction form
    12,923.82/17,834.88 = 7,258.58/x
  3. Step 3: Cross multiply
    12,923.82x = 17,834.88 × 7,258.58
  4. Step 4: Simplify right side
    12,923.82x = 129,455,850.65
  5. Step 5: Solve for x
    x = 129,455,850.65/12,923.82
  6. Step 6: Final answer
    x = 10,016.84

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