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Finding the Fourth Proportional to 17,744.81, 24,487.65 and 9,787.10

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Solution

The fourth proportional to 17,744.81, 24,487.65 and 9,787.10 is: 13,506.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,744.81 : 24,487.65 = 9,787.10 : x
  2. Step 2: Convert to fraction form
    17,744.81/24,487.65 = 9,787.10/x
  3. Step 3: Cross multiply
    17,744.81x = 24,487.65 × 9,787.10
  4. Step 4: Simplify right side
    17,744.81x = 239,662,956.88
  5. Step 5: Solve for x
    x = 239,662,956.88/17,744.81
  6. Step 6: Final answer
    x = 13,506.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.