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Finding the Fourth Proportional to 16,104.56, 24,156 and 4,417.80

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Solution

The fourth proportional to 16,104.56, 24,156 and 4,417.80 is: 6,626.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,104.56 : 24,156 = 4,417.80 : x
  2. Step 2: Convert to fraction form
    16,104.56/24,156 = 4,417.80/x
  3. Step 3: Cross multiply
    16,104.56x = 24,156 × 4,417.80
  4. Step 4: Simplify right side
    16,104.56x = 106,716,376.80
  5. Step 5: Solve for x
    x = 106,716,376.80/16,104.56
  6. Step 6: Final answer
    x = 6,626.47

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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.