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Finding the Fourth Proportional to 19,687.29, 29,526.90 and 5,643.56

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Solution

The fourth proportional to 19,687.29, 29,526.90 and 5,643.56 is: 8,464.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,687.29 : 29,526.90 = 5,643.56 : x
  2. Step 2: Convert to fraction form
    19,687.29/29,526.90 = 5,643.56/x
  3. Step 3: Cross multiply
    19,687.29x = 29,526.90 × 5,643.56
  4. Step 4: Simplify right side
    19,687.29x = 166,636,684.13
  5. Step 5: Solve for x
    x = 166,636,684.13/19,687.29
  6. Step 6: Final answer
    x = 8,464.18

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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.