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Finding the Fourth Proportional to 17,329.71, 25,993.95 and 5,642.64

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Solution

The fourth proportional to 17,329.71, 25,993.95 and 5,642.64 is: 8,463.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,329.71 : 25,993.95 = 5,642.64 : x
  2. Step 2: Convert to fraction form
    17,329.71/25,993.95 = 5,642.64/x
  3. Step 3: Cross multiply
    17,329.71x = 25,993.95 × 5,642.64
  4. Step 4: Simplify right side
    17,329.71x = 146,674,502.03
  5. Step 5: Solve for x
    x = 146,674,502.03/17,329.71
  6. Step 6: Final answer
    x = 8,463.76

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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.