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Finding the Fourth Proportional to 14,602.42, 21,861.41 and 8,580.28

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Solution

The fourth proportional to 14,602.42, 21,861.41 and 8,580.28 is: 12,845.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,602.42 : 21,861.41 = 8,580.28 : x
  2. Step 2: Convert to fraction form
    14,602.42/21,861.41 = 8,580.28/x
  3. Step 3: Cross multiply
    14,602.42x = 21,861.41 × 8,580.28
  4. Step 4: Simplify right side
    14,602.42x = 187,576,909.69
  5. Step 5: Solve for x
    x = 187,576,909.69/14,602.42
  6. Step 6: Final answer
    x = 12,845.61

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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.