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Finding the Fourth Proportional to 12,165.40, 16,782.78 and 7,384.60

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Solution

The fourth proportional to 12,165.40, 16,782.78 and 7,384.60 is: 10,187.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.40 : 16,782.78 = 7,384.60 : x
  2. Step 2: Convert to fraction form
    12,165.40/16,782.78 = 7,384.60/x
  3. Step 3: Cross multiply
    12,165.40x = 16,782.78 × 7,384.60
  4. Step 4: Simplify right side
    12,165.40x = 123,934,117.19
  5. Step 5: Solve for x
    x = 123,934,117.19/12,165.40
  6. Step 6: Final answer
    x = 10,187.43

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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.