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Finding the Fourth Proportional to 19,674.04, 27,149.16 and 11,290

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Solution

The fourth proportional to 19,674.04, 27,149.16 and 11,290 is: 15,579.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,674.04 : 27,149.16 = 11,290 : x
  2. Step 2: Convert to fraction form
    19,674.04/27,149.16 = 11,290/x
  3. Step 3: Cross multiply
    19,674.04x = 27,149.16 × 11,290
  4. Step 4: Simplify right side
    19,674.04x = 306,514,016.40
  5. Step 5: Solve for x
    x = 306,514,016.40/19,674.04
  6. Step 6: Final answer
    x = 15,579.62

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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.