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Finding the Fourth Proportional to 19,824.84, 29,732.56 and 5,781.24

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Solution

The fourth proportional to 19,824.84, 29,732.56 and 5,781.24 is: 8,670.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,824.84 : 29,732.56 = 5,781.24 : x
  2. Step 2: Convert to fraction form
    19,824.84/29,732.56 = 5,781.24/x
  3. Step 3: Cross multiply
    19,824.84x = 29,732.56 × 5,781.24
  4. Step 4: Simplify right side
    19,824.84x = 171,891,065.17
  5. Step 5: Solve for x
    x = 171,891,065.17/19,824.84
  6. Step 6: Final answer
    x = 8,670.49

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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.