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Finding the Fourth Proportional to 14,589.64, 21,866.64 and 5,696.68

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Solution

The fourth proportional to 14,589.64, 21,866.64 and 5,696.68 is: 8,538.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,589.64 : 21,866.64 = 5,696.68 : x
  2. Step 2: Convert to fraction form
    14,589.64/21,866.64 = 5,696.68/x
  3. Step 3: Cross multiply
    14,589.64x = 21,866.64 × 5,696.68
  4. Step 4: Simplify right side
    14,589.64x = 124,567,250.76
  5. Step 5: Solve for x
    x = 124,567,250.76/14,589.64
  6. Step 6: Final answer
    x = 8,538.06

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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.