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Finding the Fourth Proportional to 19,810.38, 27,350.75 and 12,749.07

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Solution

The fourth proportional to 19,810.38, 27,350.75 and 12,749.07 is: 17,601.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,810.38 : 27,350.75 = 12,749.07 : x
  2. Step 2: Convert to fraction form
    19,810.38/27,350.75 = 12,749.07/x
  3. Step 3: Cross multiply
    19,810.38x = 27,350.75 × 12,749.07
  4. Step 4: Simplify right side
    19,810.38x = 348,696,626.30
  5. Step 5: Solve for x
    x = 348,696,626.30/19,810.38
  6. Step 6: Final answer
    x = 17,601.71

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Why These Related Problems?

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