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Finding the Fourth Proportional to 14,578.69, 21,862.67 and 5,216.17

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Solution

The fourth proportional to 14,578.69, 21,862.67 and 5,216.17 is: 7,822.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,578.69 : 21,862.67 = 5,216.17 : x
  2. Step 2: Convert to fraction form
    14,578.69/21,862.67 = 5,216.17/x
  3. Step 3: Cross multiply
    14,578.69x = 21,862.67 × 5,216.17
  4. Step 4: Simplify right side
    14,578.69x = 114,039,403.37
  5. Step 5: Solve for x
    x = 114,039,403.37/14,578.69
  6. Step 6: Final answer
    x = 7,822.34

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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.