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Finding the Fourth Proportional to 13,026.17, 17,976.09 and 7,058

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Solution

The fourth proportional to 13,026.17, 17,976.09 and 7,058 is: 9,740.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026.17 : 17,976.09 = 7,058 : x
  2. Step 2: Convert to fraction form
    13,026.17/17,976.09 = 7,058/x
  3. Step 3: Cross multiply
    13,026.17x = 17,976.09 × 7,058
  4. Step 4: Simplify right side
    13,026.17x = 126,875,243.22
  5. Step 5: Solve for x
    x = 126,875,243.22/13,026.17
  6. Step 6: Final answer
    x = 9,740.03

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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.