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Finding the Fourth Proportional to 13,026.67, 17,976.68 and 7,058.32

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Solution

The fourth proportional to 13,026.67, 17,976.68 and 7,058.32 is: 9,740.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026.67 : 17,976.68 = 7,058.32 : x
  2. Step 2: Convert to fraction form
    13,026.67/17,976.68 = 7,058.32/x
  3. Step 3: Cross multiply
    13,026.67x = 17,976.68 × 7,058.32
  4. Step 4: Simplify right side
    13,026.67x = 126,885,070.09
  5. Step 5: Solve for x
    x = 126,885,070.09/13,026.67
  6. Step 6: Final answer
    x = 9,740.41

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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.