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Finding the Fourth Proportional to 13,102.72, 19,648.96 and 8,174.72

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Solution

The fourth proportional to 13,102.72, 19,648.96 and 8,174.72 is: 12,258.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.72 : 19,648.96 = 8,174.72 : x
  2. Step 2: Convert to fraction form
    13,102.72/19,648.96 = 8,174.72/x
  3. Step 3: Cross multiply
    13,102.72x = 19,648.96 × 8,174.72
  4. Step 4: Simplify right side
    13,102.72x = 160,624,746.29
  5. Step 5: Solve for x
    x = 160,624,746.29/13,102.72
  6. Step 6: Final answer
    x = 12,258.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.