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Finding the Fourth Proportional to 14,492.37, 21,723.84 and 8,239.46

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Solution

The fourth proportional to 14,492.37, 21,723.84 and 8,239.46 is: 12,350.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,492.37 : 21,723.84 = 8,239.46 : x
  2. Step 2: Convert to fraction form
    14,492.37/21,723.84 = 8,239.46/x
  3. Step 3: Cross multiply
    14,492.37x = 21,723.84 × 8,239.46
  4. Step 4: Simplify right side
    14,492.37x = 178,992,602.11
  5. Step 5: Solve for x
    x = 178,992,602.11/14,492.37
  6. Step 6: Final answer
    x = 12,350.82

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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.