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Finding the Fourth Proportional to 19,636.74, 27,098.44 and 10,684.06

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Solution

The fourth proportional to 19,636.74, 27,098.44 and 10,684.06 is: 14,743.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,636.74 : 27,098.44 = 10,684.06 : x
  2. Step 2: Convert to fraction form
    19,636.74/27,098.44 = 10,684.06/x
  3. Step 3: Cross multiply
    19,636.74x = 27,098.44 × 10,684.06
  4. Step 4: Simplify right side
    19,636.74x = 289,521,358.87
  5. Step 5: Solve for x
    x = 289,521,358.87/19,636.74
  6. Step 6: Final answer
    x = 14,743.86

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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.