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Finding the Fourth Proportional to 13,017, 19,527.96 and 5,226.42

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Solution

The fourth proportional to 13,017, 19,527.96 and 5,226.42 is: 7,840.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,017 : 19,527.96 = 5,226.42 : x
  2. Step 2: Convert to fraction form
    13,017/19,527.96 = 5,226.42/x
  3. Step 3: Cross multiply
    13,017x = 19,527.96 × 5,226.42
  4. Step 4: Simplify right side
    13,017x = 102,061,320.70
  5. Step 5: Solve for x
    x = 102,061,320.70/13,017
  6. Step 6: Final answer
    x = 7,840.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.