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Finding the Fourth Proportional to 17,823.50, 24,596.96 and 9,866.47

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Solution

The fourth proportional to 17,823.50, 24,596.96 and 9,866.47 is: 13,616.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,823.50 : 24,596.96 = 9,866.47 : x
  2. Step 2: Convert to fraction form
    17,823.50/24,596.96 = 9,866.47/x
  3. Step 3: Cross multiply
    17,823.50x = 24,596.96 × 9,866.47
  4. Step 4: Simplify right side
    17,823.50x = 242,685,057.11
  5. Step 5: Solve for x
    x = 242,685,057.11/17,823.50
  6. Step 6: Final answer
    x = 13,616.01

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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.