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Finding the Fourth Proportional to 24,564.94, 36,852.98 and 8,982.56

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Solution

The fourth proportional to 24,564.94, 36,852.98 and 8,982.56 is: 13,475.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,564.94 : 36,852.98 = 8,982.56 : x
  2. Step 2: Convert to fraction form
    24,564.94/36,852.98 = 8,982.56/x
  3. Step 3: Cross multiply
    24,564.94x = 36,852.98 × 8,982.56
  4. Step 4: Simplify right side
    24,564.94x = 331,034,151.25
  5. Step 5: Solve for x
    x = 331,034,151.25/24,564.94
  6. Step 6: Final answer
    x = 13,475.88

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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.