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Finding the Fourth Proportional to 14,950.50, 22,369.32 and 8,924.25

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Solution

The fourth proportional to 14,950.50, 22,369.32 and 8,924.25 is: 13,352.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,950.50 : 22,369.32 = 8,924.25 : x
  2. Step 2: Convert to fraction form
    14,950.50/22,369.32 = 8,924.25/x
  3. Step 3: Cross multiply
    14,950.50x = 22,369.32 × 8,924.25
  4. Step 4: Simplify right side
    14,950.50x = 199,629,404.01
  5. Step 5: Solve for x
    x = 199,629,404.01/14,950.50
  6. Step 6: Final answer
    x = 13,352.69

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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.