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Finding the Fourth Proportional to 16,757.16, 23,125.14 and 9,684.60

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Solution

The fourth proportional to 16,757.16, 23,125.14 and 9,684.60 is: 13,364.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,757.16 : 23,125.14 = 9,684.60 : x
  2. Step 2: Convert to fraction form
    16,757.16/23,125.14 = 9,684.60/x
  3. Step 3: Cross multiply
    16,757.16x = 23,125.14 × 9,684.60
  4. Step 4: Simplify right side
    16,757.16x = 223,957,730.84
  5. Step 5: Solve for x
    x = 223,957,730.84/16,757.16
  6. Step 6: Final answer
    x = 13,364.90

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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.