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Finding the Fourth Proportional to 17,852.93, 24,635.66 and 9,894.98

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Solution

The fourth proportional to 17,852.93, 24,635.66 and 9,894.98 is: 13,654.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,852.93 : 24,635.66 = 9,894.98 : x
  2. Step 2: Convert to fraction form
    17,852.93/24,635.66 = 9,894.98/x
  3. Step 3: Cross multiply
    17,852.93x = 24,635.66 × 9,894.98
  4. Step 4: Simplify right side
    17,852.93x = 243,769,190.33
  5. Step 5: Solve for x
    x = 243,769,190.33/17,852.93
  6. Step 6: Final answer
    x = 13,654.30

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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.