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Finding the Fourth Proportional to 14,380.54, 21,573.47 and 5,614.92

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Solution

The fourth proportional to 14,380.54, 21,573.47 and 5,614.92 is: 8,423.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,380.54 : 21,573.47 = 5,614.92 : x
  2. Step 2: Convert to fraction form
    14,380.54/21,573.47 = 5,614.92/x
  3. Step 3: Cross multiply
    14,380.54x = 21,573.47 × 5,614.92
  4. Step 4: Simplify right side
    14,380.54x = 121,133,322.21
  5. Step 5: Solve for x
    x = 121,133,322.21/14,380.54
  6. Step 6: Final answer
    x = 8,423.42

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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.