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Finding the Fourth Proportional to 13,115.27, 19,668.79 and 5,712.27

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Solution

The fourth proportional to 13,115.27, 19,668.79 and 5,712.27 is: 8,566.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,115.27 : 19,668.79 = 5,712.27 : x
  2. Step 2: Convert to fraction form
    13,115.27/19,668.79 = 5,712.27/x
  3. Step 3: Cross multiply
    13,115.27x = 19,668.79 × 5,712.27
  4. Step 4: Simplify right side
    13,115.27x = 112,353,483.07
  5. Step 5: Solve for x
    x = 112,353,483.07/13,115.27
  6. Step 6: Final answer
    x = 8,566.62

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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.