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Finding the Fourth Proportional to 13,718.49, 18,936.77 and 8,420.51

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Solution

The fourth proportional to 13,718.49, 18,936.77 and 8,420.51 is: 11,623.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,718.49 : 18,936.77 = 8,420.51 : x
  2. Step 2: Convert to fraction form
    13,718.49/18,936.77 = 8,420.51/x
  3. Step 3: Cross multiply
    13,718.49x = 18,936.77 × 8,420.51
  4. Step 4: Simplify right side
    13,718.49x = 159,457,124.37
  5. Step 5: Solve for x
    x = 159,457,124.37/13,718.49
  6. Step 6: Final answer
    x = 11,623.52

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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.