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Finding the Fourth Proportional to 19,638.30, 27,102.66 and 11,143.20

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Solution

The fourth proportional to 19,638.30, 27,102.66 and 11,143.20 is: 15,378.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,638.30 : 27,102.66 = 11,143.20 : x
  2. Step 2: Convert to fraction form
    19,638.30/27,102.66 = 11,143.20/x
  3. Step 3: Cross multiply
    19,638.30x = 27,102.66 × 11,143.20
  4. Step 4: Simplify right side
    19,638.30x = 302,010,360.91
  5. Step 5: Solve for x
    x = 302,010,360.91/19,638.30
  6. Step 6: Final answer
    x = 15,378.64

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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.