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Finding the Fourth Proportional to 17,544, 24,210.72 and 10,092

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Solution

The fourth proportional to 17,544, 24,210.72 and 10,092 is: 13,926.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,544 : 24,210.72 = 10,092 : x
  2. Step 2: Convert to fraction form
    17,544/24,210.72 = 10,092/x
  3. Step 3: Cross multiply
    17,544x = 24,210.72 × 10,092
  4. Step 4: Simplify right side
    17,544x = 244,334,586.24
  5. Step 5: Solve for x
    x = 244,334,586.24/17,544
  6. Step 6: Final answer
    x = 13,926.96

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