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Finding the Fourth Proportional to 16,762.84, 23,132.87 and 9,209.33

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Solution

The fourth proportional to 16,762.84, 23,132.87 and 9,209.33 is: 12,708.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,762.84 : 23,132.87 = 9,209.33 : x
  2. Step 2: Convert to fraction form
    16,762.84/23,132.87 = 9,209.33/x
  3. Step 3: Cross multiply
    16,762.84x = 23,132.87 × 9,209.33
  4. Step 4: Simplify right side
    16,762.84x = 213,038,233.68
  5. Step 5: Solve for x
    x = 213,038,233.68/16,762.84
  6. Step 6: Final answer
    x = 12,708.96

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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.