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Finding the Fourth Proportional to 13,027.19, 17,977.48 and 7,058.99

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Solution

The fourth proportional to 13,027.19, 17,977.48 and 7,058.99 is: 9,741.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,027.19 : 17,977.48 = 7,058.99 : x
  2. Step 2: Convert to fraction form
    13,027.19/17,977.48 = 7,058.99/x
  3. Step 3: Cross multiply
    13,027.19x = 17,977.48 × 7,058.99
  4. Step 4: Simplify right side
    13,027.19x = 126,902,878.84
  5. Step 5: Solve for x
    x = 126,902,878.84/13,027.19
  6. Step 6: Final answer
    x = 9,741.39

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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.