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Finding the Fourth Proportional to 14,002.88, 21,004.31 and 3,614.63

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Solution

The fourth proportional to 14,002.88, 21,004.31 and 3,614.63 is: 5,421.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002.88 : 21,004.31 = 3,614.63 : x
  2. Step 2: Convert to fraction form
    14,002.88/21,004.31 = 3,614.63/x
  3. Step 3: Cross multiply
    14,002.88x = 21,004.31 × 3,614.63
  4. Step 4: Simplify right side
    14,002.88x = 75,922,713.07
  5. Step 5: Solve for x
    x = 75,922,713.07/14,002.88
  6. Step 6: Final answer
    x = 5,421.94

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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.