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Finding the Fourth Proportional to 17,824.10, 24,596.96 and 9,866.15

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Solution

The fourth proportional to 17,824.10, 24,596.96 and 9,866.15 is: 13,615.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,824.10 : 24,596.96 = 9,866.15 : x
  2. Step 2: Convert to fraction form
    17,824.10/24,596.96 = 9,866.15/x
  3. Step 3: Cross multiply
    17,824.10x = 24,596.96 × 9,866.15
  4. Step 4: Simplify right side
    17,824.10x = 242,677,333.73
  5. Step 5: Solve for x
    x = 242,677,333.73/17,824.10
  6. Step 6: Final answer
    x = 13,615.13

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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.