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Finding the Fourth Proportional to 13,302.36, 18,356.94 and 7,713

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Solution

The fourth proportional to 13,302.36, 18,356.94 and 7,713 is: 10,643.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,302.36 : 18,356.94 = 7,713 : x
  2. Step 2: Convert to fraction form
    13,302.36/18,356.94 = 7,713/x
  3. Step 3: Cross multiply
    13,302.36x = 18,356.94 × 7,713
  4. Step 4: Simplify right side
    13,302.36x = 141,587,078.22
  5. Step 5: Solve for x
    x = 141,587,078.22/13,302.36
  6. Step 6: Final answer
    x = 10,643.76

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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.