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Finding the Fourth Proportional to 12,923.72, 17,835.05 and 7,258.48

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Solution

The fourth proportional to 12,923.72, 17,835.05 and 7,258.48 is: 10,016.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,923.72 : 17,835.05 = 7,258.48 : x
  2. Step 2: Convert to fraction form
    12,923.72/17,835.05 = 7,258.48/x
  3. Step 3: Cross multiply
    12,923.72x = 17,835.05 × 7,258.48
  4. Step 4: Simplify right side
    12,923.72x = 129,455,366.94
  5. Step 5: Solve for x
    x = 129,455,366.94/12,923.72
  6. Step 6: Final answer
    x = 10,016.88

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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.