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Finding the Fourth Proportional to 13,058.82, 18,021.34 and 7,090.59

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Solution

The fourth proportional to 13,058.82, 18,021.34 and 7,090.59 is: 9,785.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,058.82 : 18,021.34 = 7,090.59 : x
  2. Step 2: Convert to fraction form
    13,058.82/18,021.34 = 7,090.59/x
  3. Step 3: Cross multiply
    13,058.82x = 18,021.34 × 7,090.59
  4. Step 4: Simplify right side
    13,058.82x = 127,781,868.38
  5. Step 5: Solve for x
    x = 127,781,868.38/13,058.82
  6. Step 6: Final answer
    x = 9,785.10

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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.