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Finding the Fourth Proportional to 14,578.25, 21,871.99 and 5,218.06

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Solution

The fourth proportional to 14,578.25, 21,871.99 and 5,218.06 is: 7,828.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,578.25 : 21,871.99 = 5,218.06 : x
  2. Step 2: Convert to fraction form
    14,578.25/21,871.99 = 5,218.06/x
  3. Step 3: Cross multiply
    14,578.25x = 21,871.99 × 5,218.06
  4. Step 4: Simplify right side
    14,578.25x = 114,129,356.14
  5. Step 5: Solve for x
    x = 114,129,356.14/14,578.25
  6. Step 6: Final answer
    x = 7,828.74

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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.