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Finding the Fourth Proportional to 27,668.91, 38,191.28 and 19,288.11

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Solution

The fourth proportional to 27,668.91, 38,191.28 and 19,288.11 is: 26,623.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,668.91 : 38,191.28 = 19,288.11 : x
  2. Step 2: Convert to fraction form
    27,668.91/38,191.28 = 19,288.11/x
  3. Step 3: Cross multiply
    27,668.91x = 38,191.28 × 19,288.11
  4. Step 4: Simplify right side
    27,668.91x = 736,637,513.24
  5. Step 5: Solve for x
    x = 736,637,513.24/27,668.91
  6. Step 6: Final answer
    x = 26,623.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.