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Finding the Fourth Proportional to 14,322.10, 21,457.55 and 8,843.70

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Solution

The fourth proportional to 14,322.10, 21,457.55 and 8,843.70 is: 13,249.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,322.10 : 21,457.55 = 8,843.70 : x
  2. Step 2: Convert to fraction form
    14,322.10/21,457.55 = 8,843.70/x
  3. Step 3: Cross multiply
    14,322.10x = 21,457.55 × 8,843.70
  4. Step 4: Simplify right side
    14,322.10x = 189,764,134.94
  5. Step 5: Solve for x
    x = 189,764,134.94/14,322.10
  6. Step 6: Final answer
    x = 13,249.74

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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.