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Finding the Fourth Proportional to 14,393.28, 21,601.44 and 7,469.76

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Solution

The fourth proportional to 14,393.28, 21,601.44 and 7,469.76 is: 11,210.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,393.28 : 21,601.44 = 7,469.76 : x
  2. Step 2: Convert to fraction form
    14,393.28/21,601.44 = 7,469.76/x
  3. Step 3: Cross multiply
    14,393.28x = 21,601.44 × 7,469.76
  4. Step 4: Simplify right side
    14,393.28x = 161,357,572.45
  5. Step 5: Solve for x
    x = 161,357,572.45/14,393.28
  6. Step 6: Final answer
    x = 11,210.62

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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.