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Finding the Fourth Proportional to 13,217.56, 19,827.56 and 4,786.16

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Solution

The fourth proportional to 13,217.56, 19,827.56 and 4,786.16 is: 7,179.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,217.56 : 19,827.56 = 4,786.16 : x
  2. Step 2: Convert to fraction form
    13,217.56/19,827.56 = 4,786.16/x
  3. Step 3: Cross multiply
    13,217.56x = 19,827.56 × 4,786.16
  4. Step 4: Simplify right side
    13,217.56x = 94,897,874.57
  5. Step 5: Solve for x
    x = 94,897,874.57/13,217.56
  6. Step 6: Final answer
    x = 7,179.68

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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.