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Finding the Fourth Proportional to 18,029.14, 27,036.41 and 7,492

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Solution

The fourth proportional to 18,029.14, 27,036.41 and 7,492 is: 11,234.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,029.14 : 27,036.41 = 7,492 : x
  2. Step 2: Convert to fraction form
    18,029.14/27,036.41 = 7,492/x
  3. Step 3: Cross multiply
    18,029.14x = 27,036.41 × 7,492
  4. Step 4: Simplify right side
    18,029.14x = 202,556,746.26
  5. Step 5: Solve for x
    x = 202,556,746.26/18,029.14
  6. Step 6: Final answer
    x = 11,234.96

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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.