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Finding the Fourth Proportional to 17,446.96, 24,076.29 and 9,893.98

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Solution

The fourth proportional to 17,446.96, 24,076.29 and 9,893.98 is: 13,653.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,446.96 : 24,076.29 = 9,893.98 : x
  2. Step 2: Convert to fraction form
    17,446.96/24,076.29 = 9,893.98/x
  3. Step 3: Cross multiply
    17,446.96x = 24,076.29 × 9,893.98
  4. Step 4: Simplify right side
    17,446.96x = 238,210,331.73
  5. Step 5: Solve for x
    x = 238,210,331.73/17,446.96
  6. Step 6: Final answer
    x = 13,653.40

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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.