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Finding the Fourth Proportional to 14,512.59, 21,765.79 and 4,649.22

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Solution

The fourth proportional to 14,512.59, 21,765.79 and 4,649.22 is: 6,972.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,512.59 : 21,765.79 = 4,649.22 : x
  2. Step 2: Convert to fraction form
    14,512.59/21,765.79 = 4,649.22/x
  3. Step 3: Cross multiply
    14,512.59x = 21,765.79 × 4,649.22
  4. Step 4: Simplify right side
    14,512.59x = 101,193,946.18
  5. Step 5: Solve for x
    x = 101,193,946.18/14,512.59
  6. Step 6: Final answer
    x = 6,972.84

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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.