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Finding the Fourth Proportional to 13,251, 19,827.45 and 7,989.06

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Solution

The fourth proportional to 13,251, 19,827.45 and 7,989.06 is: 11,954.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,251 : 19,827.45 = 7,989.06 : x
  2. Step 2: Convert to fraction form
    13,251/19,827.45 = 7,989.06/x
  3. Step 3: Cross multiply
    13,251x = 19,827.45 × 7,989.06
  4. Step 4: Simplify right side
    13,251x = 158,402,687.70
  5. Step 5: Solve for x
    x = 158,402,687.70/13,251
  6. Step 6: Final answer
    x = 11,954.02

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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.