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Finding the Fourth Proportional to 14,352.50, 21,532.84 and 5,589.92

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Solution

The fourth proportional to 14,352.50, 21,532.84 and 5,589.92 is: 8,386.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,352.50 : 21,532.84 = 5,589.92 : x
  2. Step 2: Convert to fraction form
    14,352.50/21,532.84 = 5,589.92/x
  3. Step 3: Cross multiply
    14,352.50x = 21,532.84 × 5,589.92
  4. Step 4: Simplify right side
    14,352.50x = 120,366,892.83
  5. Step 5: Solve for x
    x = 120,366,892.83/14,352.50
  6. Step 6: Final answer
    x = 8,386.47

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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.