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Finding the Fourth Proportional to 22,449.09, 31,000.68 and 14,080.17

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Solution

The fourth proportional to 22,449.09, 31,000.68 and 14,080.17 is: 19,443.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,449.09 : 31,000.68 = 14,080.17 : x
  2. Step 2: Convert to fraction form
    22,449.09/31,000.68 = 14,080.17/x
  3. Step 3: Cross multiply
    22,449.09x = 31,000.68 × 14,080.17
  4. Step 4: Simplify right side
    22,449.09x = 436,494,844.52
  5. Step 5: Solve for x
    x = 436,494,844.52/22,449.09
  6. Step 6: Final answer
    x = 19,443.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.