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Finding the Fourth Proportional to 16,411.50, 24,626.97 and 7,051.26

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Solution

The fourth proportional to 16,411.50, 24,626.97 and 7,051.26 is: 10,581.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,411.50 : 24,626.97 = 7,051.26 : x
  2. Step 2: Convert to fraction form
    16,411.50/24,626.97 = 7,051.26/x
  3. Step 3: Cross multiply
    16,411.50x = 24,626.97 × 7,051.26
  4. Step 4: Simplify right side
    16,411.50x = 173,651,168.48
  5. Step 5: Solve for x
    x = 173,651,168.48/16,411.50
  6. Step 6: Final answer
    x = 10,581.07

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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.