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Finding the Fourth Proportional to 12,318.50, 16,995.24 and 7,474.76

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Solution

The fourth proportional to 12,318.50, 16,995.24 and 7,474.76 is: 10,312.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,318.50 : 16,995.24 = 7,474.76 : x
  2. Step 2: Convert to fraction form
    12,318.50/16,995.24 = 7,474.76/x
  3. Step 3: Cross multiply
    12,318.50x = 16,995.24 × 7,474.76
  4. Step 4: Simplify right side
    12,318.50x = 127,035,255.17
  5. Step 5: Solve for x
    x = 127,035,255.17/12,318.50
  6. Step 6: Final answer
    x = 10,312.56

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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.