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Finding the Fourth Proportional to 12,168.36, 16,783.74 and 7,455.24

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Solution

The fourth proportional to 12,168.36, 16,783.74 and 7,455.24 is: 10,282.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,168.36 : 16,783.74 = 7,455.24 : x
  2. Step 2: Convert to fraction form
    12,168.36/16,783.74 = 7,455.24/x
  3. Step 3: Cross multiply
    12,168.36x = 16,783.74 × 7,455.24
  4. Step 4: Simplify right side
    12,168.36x = 125,126,809.80
  5. Step 5: Solve for x
    x = 125,126,809.80/12,168.36
  6. Step 6: Final answer
    x = 10,282.96

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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.