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Finding the Fourth Proportional to 14,371.84, 19,832.80 and 8,084.24

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Solution

The fourth proportional to 14,371.84, 19,832.80 and 8,084.24 is: 11,156.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,371.84 : 19,832.80 = 8,084.24 : x
  2. Step 2: Convert to fraction form
    14,371.84/19,832.80 = 8,084.24/x
  3. Step 3: Cross multiply
    14,371.84x = 19,832.80 × 8,084.24
  4. Step 4: Simplify right side
    14,371.84x = 160,333,115.07
  5. Step 5: Solve for x
    x = 160,333,115.07/14,371.84
  6. Step 6: Final answer
    x = 11,156.06

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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.