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Finding the Fourth Proportional to 22,718.54, 31,356.11 and 13,160.00

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Solution

The fourth proportional to 22,718.54, 31,356.11 and 13,160.00 is: 18,163.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,718.54 : 31,356.11 = 13,160.00 : x
  2. Step 2: Convert to fraction form
    22,718.54/31,356.11 = 13,160.00/x
  3. Step 3: Cross multiply
    22,718.54x = 31,356.11 × 13,160.00
  4. Step 4: Simplify right side
    22,718.54x = 412,646,518.89
  5. Step 5: Solve for x
    x = 412,646,518.89/22,718.54
  6. Step 6: Final answer
    x = 18,163.42

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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.