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Finding the Fourth Proportional to 14,492.00, 21,723.29 and 8,239.08

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Solution

The fourth proportional to 14,492.00, 21,723.29 and 8,239.08 is: 12,350.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,492.00 : 21,723.29 = 8,239.08 : x
  2. Step 2: Convert to fraction form
    14,492.00/21,723.29 = 8,239.08/x
  3. Step 3: Cross multiply
    14,492.00x = 21,723.29 × 8,239.08
  4. Step 4: Simplify right side
    14,492.00x = 178,979,882.98
  5. Step 5: Solve for x
    x = 178,979,882.98/14,492.00
  6. Step 6: Final answer
    x = 12,350.26

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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.