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Finding the Fourth Proportional to 13,146.75, 19,719 and 4,826.43

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Solution

The fourth proportional to 13,146.75, 19,719 and 4,826.43 is: 7,239.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,146.75 : 19,719 = 4,826.43 : x
  2. Step 2: Convert to fraction form
    13,146.75/19,719 = 4,826.43/x
  3. Step 3: Cross multiply
    13,146.75x = 19,719 × 4,826.43
  4. Step 4: Simplify right side
    13,146.75x = 95,172,373.17
  5. Step 5: Solve for x
    x = 95,172,373.17/13,146.75
  6. Step 6: Final answer
    x = 7,239.23

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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.