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Finding the Fourth Proportional to 14,938.09, 20,612.28 and 8,649.25

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Solution

The fourth proportional to 14,938.09, 20,612.28 and 8,649.25 is: 11,934.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,938.09 : 20,612.28 = 8,649.25 : x
  2. Step 2: Convert to fraction form
    14,938.09/20,612.28 = 8,649.25/x
  3. Step 3: Cross multiply
    14,938.09x = 20,612.28 × 8,649.25
  4. Step 4: Simplify right side
    14,938.09x = 178,280,762.79
  5. Step 5: Solve for x
    x = 178,280,762.79/14,938.09
  6. Step 6: Final answer
    x = 11,934.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.