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Finding the Fourth Proportional to 17,823.20, 24,596.23 and 9,866.16

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Solution

The fourth proportional to 17,823.20, 24,596.23 and 9,866.16 is: 13,615.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,823.20 : 24,596.23 = 9,866.16 : x
  2. Step 2: Convert to fraction form
    17,823.20/24,596.23 = 9,866.16/x
  3. Step 3: Cross multiply
    17,823.20x = 24,596.23 × 9,866.16
  4. Step 4: Simplify right side
    17,823.20x = 242,670,340.58
  5. Step 5: Solve for x
    x = 242,670,340.58/17,823.20
  6. Step 6: Final answer
    x = 13,615.42

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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.