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Finding the Fourth Proportional to 14,396.31, 21,589.63 and 5,509.56

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Solution

The fourth proportional to 14,396.31, 21,589.63 and 5,509.56 is: 8,262.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,396.31 : 21,589.63 = 5,509.56 : x
  2. Step 2: Convert to fraction form
    14,396.31/21,589.63 = 5,509.56/x
  3. Step 3: Cross multiply
    14,396.31x = 21,589.63 × 5,509.56
  4. Step 4: Simplify right side
    14,396.31x = 118,949,402.06
  5. Step 5: Solve for x
    x = 118,949,402.06/14,396.31
  6. Step 6: Final answer
    x = 8,262.50

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Why These Related Problems?

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