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Finding the Fourth Proportional to 17,444.75, 24,073.64 and 9,486.96

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Solution

The fourth proportional to 17,444.75, 24,073.64 and 9,486.96 is: 13,091.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,444.75 : 24,073.64 = 9,486.96 : x
  2. Step 2: Convert to fraction form
    17,444.75/24,073.64 = 9,486.96/x
  3. Step 3: Cross multiply
    17,444.75x = 24,073.64 × 9,486.96
  4. Step 4: Simplify right side
    17,444.75x = 228,385,491.93
  5. Step 5: Solve for x
    x = 228,385,491.93/17,444.75
  6. Step 6: Final answer
    x = 13,091.93

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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.