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Finding the Fourth Proportional to 21,724.98, 32,537.13 and 18,527.70

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Solution

The fourth proportional to 21,724.98, 32,537.13 and 18,527.70 is: 27,748.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,724.98 : 32,537.13 = 18,527.70 : x
  2. Step 2: Convert to fraction form
    21,724.98/32,537.13 = 18,527.70/x
  3. Step 3: Cross multiply
    21,724.98x = 32,537.13 × 18,527.70
  4. Step 4: Simplify right side
    21,724.98x = 602,838,183.50
  5. Step 5: Solve for x
    x = 602,838,183.50/21,724.98
  6. Step 6: Final answer
    x = 27,748.62

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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.