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Finding the Fourth Proportional to 21,574.50, 32,363.50 and 5,992.14

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Solution

The fourth proportional to 21,574.50, 32,363.50 and 5,992.14 is: 8,988.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,574.50 : 32,363.50 = 5,992.14 : x
  2. Step 2: Convert to fraction form
    21,574.50/32,363.50 = 5,992.14/x
  3. Step 3: Cross multiply
    21,574.50x = 32,363.50 × 5,992.14
  4. Step 4: Simplify right side
    21,574.50x = 193,926,622.89
  5. Step 5: Solve for x
    x = 193,926,622.89/21,574.50
  6. Step 6: Final answer
    x = 8,988.70

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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.