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Finding the Fourth Proportional to 17,230, 23,773.68 and 10,153.84

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Solution

The fourth proportional to 17,230, 23,773.68 and 10,153.84 is: 14,010.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,230 : 23,773.68 = 10,153.84 : x
  2. Step 2: Convert to fraction form
    17,230/23,773.68 = 10,153.84/x
  3. Step 3: Cross multiply
    17,230x = 23,773.68 × 10,153.84
  4. Step 4: Simplify right side
    17,230x = 241,394,142.93
  5. Step 5: Solve for x
    x = 241,394,142.93/17,230
  6. Step 6: Final answer
    x = 14,010.11

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1.5x scale

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.