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Finding the Fourth Proportional to 14,806.26, 22,184.13 and 8,950.50

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Solution

The fourth proportional to 14,806.26, 22,184.13 and 8,950.50 is: 13,410.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,806.26 : 22,184.13 = 8,950.50 : x
  2. Step 2: Convert to fraction form
    14,806.26/22,184.13 = 8,950.50/x
  3. Step 3: Cross multiply
    14,806.26x = 22,184.13 × 8,950.50
  4. Step 4: Simplify right side
    14,806.26x = 198,559,055.57
  5. Step 5: Solve for x
    x = 198,559,055.57/14,806.26
  6. Step 6: Final answer
    x = 13,410.48

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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.