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Finding the Fourth Proportional to 17,617.23, 24,314.16 and 10,815.30

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Solution

The fourth proportional to 17,617.23, 24,314.16 and 10,815.30 is: 14,926.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,617.23 : 24,314.16 = 10,815.30 : x
  2. Step 2: Convert to fraction form
    17,617.23/24,314.16 = 10,815.30/x
  3. Step 3: Cross multiply
    17,617.23x = 24,314.16 × 10,815.30
  4. Step 4: Simplify right side
    17,617.23x = 262,964,934.65
  5. Step 5: Solve for x
    x = 262,964,934.65/17,617.23
  6. Step 6: Final answer
    x = 14,926.58

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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.