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Finding the Fourth Proportional to 21,478.54, 32,230.36 and 8,997.50

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Solution

The fourth proportional to 21,478.54, 32,230.36 and 8,997.50 is: 13,501.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,478.54 : 32,230.36 = 8,997.50 : x
  2. Step 2: Convert to fraction form
    21,478.54/32,230.36 = 8,997.50/x
  3. Step 3: Cross multiply
    21,478.54x = 32,230.36 × 8,997.50
  4. Step 4: Simplify right side
    21,478.54x = 289,992,722.18
  5. Step 5: Solve for x
    x = 289,992,722.18/21,478.54
  6. Step 6: Final answer
    x = 13,501.51

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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.