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Finding the Fourth Proportional to 19,716.84, 29,579.94 and 6,569.28

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Solution

The fourth proportional to 19,716.84, 29,579.94 and 6,569.28 is: 9,855.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,716.84 : 29,579.94 = 6,569.28 : x
  2. Step 2: Convert to fraction form
    19,716.84/29,579.94 = 6,569.28/x
  3. Step 3: Cross multiply
    19,716.84x = 29,579.94 × 6,569.28
  4. Step 4: Simplify right side
    19,716.84x = 194,318,908.24
  5. Step 5: Solve for x
    x = 194,318,908.24/19,716.84
  6. Step 6: Final answer
    x = 9,855.48

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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.