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Finding the Fourth Proportional to 12,844.50, 17,723.61 and 7,178.52

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Solution

The fourth proportional to 12,844.50, 17,723.61 and 7,178.52 is: 9,905.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,844.50 : 17,723.61 = 7,178.52 : x
  2. Step 2: Convert to fraction form
    12,844.50/17,723.61 = 7,178.52/x
  3. Step 3: Cross multiply
    12,844.50x = 17,723.61 × 7,178.52
  4. Step 4: Simplify right side
    12,844.50x = 127,229,288.86
  5. Step 5: Solve for x
    x = 127,229,288.86/12,844.50
  6. Step 6: Final answer
    x = 9,905.35

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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.