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Finding the Fourth Proportional to 16,762.24, 23,131.92 and 9,688.64

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Solution

The fourth proportional to 16,762.24, 23,131.92 and 9,688.64 is: 13,370.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,762.24 : 23,131.92 = 9,688.64 : x
  2. Step 2: Convert to fraction form
    16,762.24/23,131.92 = 9,688.64/x
  3. Step 3: Cross multiply
    16,762.24x = 23,131.92 × 9,688.64
  4. Step 4: Simplify right side
    16,762.24x = 224,116,845.39
  5. Step 5: Solve for x
    x = 224,116,845.39/16,762.24
  6. Step 6: Final answer
    x = 13,370.34

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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.