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Finding the Fourth Proportional to 17,852.64, 24,636.24 and 9,894.79

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Solution

The fourth proportional to 17,852.64, 24,636.24 and 9,894.79 is: 13,654.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,852.64 : 24,636.24 = 9,894.79 : x
  2. Step 2: Convert to fraction form
    17,852.64/24,636.24 = 9,894.79/x
  3. Step 3: Cross multiply
    17,852.64x = 24,636.24 × 9,894.79
  4. Step 4: Simplify right side
    17,852.64x = 243,770,421.19
  5. Step 5: Solve for x
    x = 243,770,421.19/17,852.64
  6. Step 6: Final answer
    x = 13,654.59

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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.