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Finding the Fourth Proportional to 14,896.72, 22,358.04 and 9,708.40

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Solution

The fourth proportional to 14,896.72, 22,358.04 and 9,708.40 is: 14,571.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,896.72 : 22,358.04 = 9,708.40 : x
  2. Step 2: Convert to fraction form
    14,896.72/22,358.04 = 9,708.40/x
  3. Step 3: Cross multiply
    14,896.72x = 22,358.04 × 9,708.40
  4. Step 4: Simplify right side
    14,896.72x = 217,060,795.54
  5. Step 5: Solve for x
    x = 217,060,795.54/14,896.72
  6. Step 6: Final answer
    x = 14,571.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.