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Finding the Fourth Proportional to 14,464.58, 21,696.66 and 5,699.57

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Solution

The fourth proportional to 14,464.58, 21,696.66 and 5,699.57 is: 8,549.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,464.58 : 21,696.66 = 5,699.57 : x
  2. Step 2: Convert to fraction form
    14,464.58/21,696.66 = 5,699.57/x
  3. Step 3: Cross multiply
    14,464.58x = 21,696.66 × 5,699.57
  4. Step 4: Simplify right side
    14,464.58x = 123,661,523.95
  5. Step 5: Solve for x
    x = 123,661,523.95/14,464.58
  6. Step 6: Final answer
    x = 8,549.27

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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.