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Finding the Fourth Proportional to 14,492.48, 21,724 and 8,239.57

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Solution

The fourth proportional to 14,492.48, 21,724 and 8,239.57 is: 12,350.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,492.48 : 21,724 = 8,239.57 : x
  2. Step 2: Convert to fraction form
    14,492.48/21,724 = 8,239.57/x
  3. Step 3: Cross multiply
    14,492.48x = 21,724 × 8,239.57
  4. Step 4: Simplify right side
    14,492.48x = 178,996,418.68
  5. Step 5: Solve for x
    x = 178,996,418.68/14,492.48
  6. Step 6: Final answer
    x = 12,350.99

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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.