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Finding the Fourth Proportional to 17,157.42, 23,679.74 and 10,446.98

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Solution

The fourth proportional to 17,157.42, 23,679.74 and 10,446.98 is: 14,418.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,157.42 : 23,679.74 = 10,446.98 : x
  2. Step 2: Convert to fraction form
    17,157.42/23,679.74 = 10,446.98/x
  3. Step 3: Cross multiply
    17,157.42x = 23,679.74 × 10,446.98
  4. Step 4: Simplify right side
    17,157.42x = 247,381,677.90
  5. Step 5: Solve for x
    x = 247,381,677.90/17,157.42
  6. Step 6: Final answer
    x = 14,418.35

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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.