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Finding the Fourth Proportional to 16,740.86, 23,102.16 and 9,667.12

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Solution

The fourth proportional to 16,740.86, 23,102.16 and 9,667.12 is: 13,340.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,740.86 : 23,102.16 = 9,667.12 : x
  2. Step 2: Convert to fraction form
    16,740.86/23,102.16 = 9,667.12/x
  3. Step 3: Cross multiply
    16,740.86x = 23,102.16 × 9,667.12
  4. Step 4: Simplify right side
    16,740.86x = 223,331,352.98
  5. Step 5: Solve for x
    x = 223,331,352.98/16,740.86
  6. Step 6: Final answer
    x = 13,340.49

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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.