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Finding the Fourth Proportional to 13,017.96, 19,488.54 and 8,071.68

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Solution

The fourth proportional to 13,017.96, 19,488.54 and 8,071.68 is: 12,083.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,017.96 : 19,488.54 = 8,071.68 : x
  2. Step 2: Convert to fraction form
    13,017.96/19,488.54 = 8,071.68/x
  3. Step 3: Cross multiply
    13,017.96x = 19,488.54 × 8,071.68
  4. Step 4: Simplify right side
    13,017.96x = 157,305,258.55
  5. Step 5: Solve for x
    x = 157,305,258.55/13,017.96
  6. Step 6: Final answer
    x = 12,083.71

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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.