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Finding the Fourth Proportional to 19,574.84, 29,362.32 and 13,757.48

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Solution

The fourth proportional to 19,574.84, 29,362.32 and 13,757.48 is: 20,636.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,574.84 : 29,362.32 = 13,757.48 : x
  2. Step 2: Convert to fraction form
    19,574.84/29,362.32 = 13,757.48/x
  3. Step 3: Cross multiply
    19,574.84x = 29,362.32 × 13,757.48
  4. Step 4: Simplify right side
    19,574.84x = 403,951,530.15
  5. Step 5: Solve for x
    x = 403,951,530.15/19,574.84
  6. Step 6: Final answer
    x = 20,636.26

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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.