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Finding the Fourth Proportional to 12,923.85, 17,835.22 and 7,258.61

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Solution

The fourth proportional to 12,923.85, 17,835.22 and 7,258.61 is: 10,017.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,923.85 : 17,835.22 = 7,258.61 : x
  2. Step 2: Convert to fraction form
    12,923.85/17,835.22 = 7,258.61/x
  3. Step 3: Cross multiply
    12,923.85x = 17,835.22 × 7,258.61
  4. Step 4: Simplify right side
    12,923.85x = 129,458,817.07
  5. Step 5: Solve for x
    x = 129,458,817.07/12,923.85
  6. Step 6: Final answer
    x = 10,017.05

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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.