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Finding the Fourth Proportional to 12,923.82, 17,820.66 and 8,938.02

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Solution

The fourth proportional to 12,923.82, 17,820.66 and 8,938.02 is: 12,324.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,923.82 : 17,820.66 = 8,938.02 : x
  2. Step 2: Convert to fraction form
    12,923.82/17,820.66 = 8,938.02/x
  3. Step 3: Cross multiply
    12,923.82x = 17,820.66 × 8,938.02
  4. Step 4: Simplify right side
    12,923.82x = 159,281,415.49
  5. Step 5: Solve for x
    x = 159,281,415.49/12,923.82
  6. Step 6: Final answer
    x = 12,324.64

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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.