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Finding the Fourth Proportional to 14,592.09, 21,892.71 and 5,231.88

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Solution

The fourth proportional to 14,592.09, 21,892.71 and 5,231.88 is: 7,849.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,592.09 : 21,892.71 = 5,231.88 : x
  2. Step 2: Convert to fraction form
    14,592.09/21,892.71 = 5,231.88/x
  3. Step 3: Cross multiply
    14,592.09x = 21,892.71 × 5,231.88
  4. Step 4: Simplify right side
    14,592.09x = 114,540,031.59
  5. Step 5: Solve for x
    x = 114,540,031.59/14,592.09
  6. Step 6: Final answer
    x = 7,849.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.