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Finding the Fourth Proportional to 22,760.50, 31,409.49 and 12,824.50

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Solution

The fourth proportional to 22,760.50, 31,409.49 and 12,824.50 is: 17,697.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,760.50 : 31,409.49 = 12,824.50 : x
  2. Step 2: Convert to fraction form
    22,760.50/31,409.49 = 12,824.50/x
  3. Step 3: Cross multiply
    22,760.50x = 31,409.49 × 12,824.50
  4. Step 4: Simplify right side
    22,760.50x = 402,811,004.51
  5. Step 5: Solve for x
    x = 402,811,004.51/22,760.50
  6. Step 6: Final answer
    x = 17,697.81

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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.