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Finding the Fourth Proportional to 12,724.29, 17,558.65 and 7,058.81

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Solution

The fourth proportional to 12,724.29, 17,558.65 and 7,058.81 is: 9,740.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,724.29 : 17,558.65 = 7,058.81 : x
  2. Step 2: Convert to fraction form
    12,724.29/17,558.65 = 7,058.81/x
  3. Step 3: Cross multiply
    12,724.29x = 17,558.65 × 7,058.81
  4. Step 4: Simplify right side
    12,724.29x = 123,943,174.21
  5. Step 5: Solve for x
    x = 123,943,174.21/12,724.29
  6. Step 6: Final answer
    x = 9,740.68

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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.