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Finding the Fourth Proportional to 14,204.70, 19,601.46 and 8,235.54

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Solution

The fourth proportional to 14,204.70, 19,601.46 and 8,235.54 is: 11,364.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,204.70 : 19,601.46 = 8,235.54 : x
  2. Step 2: Convert to fraction form
    14,204.70/19,601.46 = 8,235.54/x
  3. Step 3: Cross multiply
    14,204.70x = 19,601.46 × 8,235.54
  4. Step 4: Simplify right side
    14,204.70x = 161,428,607.89
  5. Step 5: Solve for x
    x = 161,428,607.89/14,204.70
  6. Step 6: Final answer
    x = 11,364.45

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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.