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Finding the Fourth Proportional to 14,578.67, 21,865.67 and 5,216.95

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Solution

The fourth proportional to 14,578.67, 21,865.67 and 5,216.95 is: 7,824.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,578.67 : 21,865.67 = 5,216.95 : x
  2. Step 2: Convert to fraction form
    14,578.67/21,865.67 = 5,216.95/x
  3. Step 3: Cross multiply
    14,578.67x = 21,865.67 × 5,216.95
  4. Step 4: Simplify right side
    14,578.67x = 114,072,026.36
  5. Step 5: Solve for x
    x = 114,072,026.36/14,578.67
  6. Step 6: Final answer
    x = 7,824.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.