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Finding the Fourth Proportional to 16,762.57, 23,132.66 and 9,208.71

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Solution

The fourth proportional to 16,762.57, 23,132.66 and 9,208.71 is: 12,708.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,762.57 : 23,132.66 = 9,208.71 : x
  2. Step 2: Convert to fraction form
    16,762.57/23,132.66 = 9,208.71/x
  3. Step 3: Cross multiply
    16,762.57x = 23,132.66 × 9,208.71
  4. Step 4: Simplify right side
    16,762.57x = 213,021,911.43
  5. Step 5: Solve for x
    x = 213,021,911.43/16,762.57
  6. Step 6: Final answer
    x = 12,708.19

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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.