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Finding the Fourth Proportional to 23,004.74, 31,762.28 and 17,617.67

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Solution

The fourth proportional to 23,004.74, 31,762.28 and 17,617.67 is: 24,324.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,004.74 : 31,762.28 = 17,617.67 : x
  2. Step 2: Convert to fraction form
    23,004.74/31,762.28 = 17,617.67/x
  3. Step 3: Cross multiply
    23,004.74x = 31,762.28 × 17,617.67
  4. Step 4: Simplify right side
    23,004.74x = 559,577,367.49
  5. Step 5: Solve for x
    x = 559,577,367.49/23,004.74
  6. Step 6: Final answer
    x = 24,324.44

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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.