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Finding the Fourth Proportional to 14,258.50, 19,676.73 and 7,972.18

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Solution

The fourth proportional to 14,258.50, 19,676.73 and 7,972.18 is: 11,001.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,258.50 : 19,676.73 = 7,972.18 : x
  2. Step 2: Convert to fraction form
    14,258.50/19,676.73 = 7,972.18/x
  3. Step 3: Cross multiply
    14,258.50x = 19,676.73 × 7,972.18
  4. Step 4: Simplify right side
    14,258.50x = 156,866,433.37
  5. Step 5: Solve for x
    x = 156,866,433.37/14,258.50
  6. Step 6: Final answer
    x = 11,001.61

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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.