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Finding the Fourth Proportional to 20,009.93, 27,614.24 and 11,058

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Solution

The fourth proportional to 20,009.93, 27,614.24 and 11,058 is: 15,260.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,009.93 : 27,614.24 = 11,058 : x
  2. Step 2: Convert to fraction form
    20,009.93/27,614.24 = 11,058/x
  3. Step 3: Cross multiply
    20,009.93x = 27,614.24 × 11,058
  4. Step 4: Simplify right side
    20,009.93x = 305,358,210.63
  5. Step 5: Solve for x
    x = 305,358,210.63/20,009.93
  6. Step 6: Final answer
    x = 15,260.34

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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.