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Finding the Fourth Proportional to 13,123, 18,109.74 and 7,235

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Solution

The fourth proportional to 13,123, 18,109.74 and 7,235 is: 9,984.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,123 : 18,109.74 = 7,235 : x
  2. Step 2: Convert to fraction form
    13,123/18,109.74 = 7,235/x
  3. Step 3: Cross multiply
    13,123x = 18,109.74 × 7,235
  4. Step 4: Simplify right side
    13,123x = 131,023,968.90
  5. Step 5: Solve for x
    x = 131,023,968.90/13,123
  6. Step 6: Final answer
    x = 9,984.30

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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.