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Finding the Fourth Proportional to 13,156.81, 19,712.94 and 7,951.75

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Solution

The fourth proportional to 13,156.81, 19,712.94 and 7,951.75 is: 11,914.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,156.81 : 19,712.94 = 7,951.75 : x
  2. Step 2: Convert to fraction form
    13,156.81/19,712.94 = 7,951.75/x
  3. Step 3: Cross multiply
    13,156.81x = 19,712.94 × 7,951.75
  4. Step 4: Simplify right side
    13,156.81x = 156,752,370.65
  5. Step 5: Solve for x
    x = 156,752,370.65/13,156.81
  6. Step 6: Final answer
    x = 11,914.16

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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.