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Finding the Fourth Proportional to 17,975.76, 24,807.24 and 10,421.96

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Solution

The fourth proportional to 17,975.76, 24,807.24 and 10,421.96 is: 14,382.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,975.76 : 24,807.24 = 10,421.96 : x
  2. Step 2: Convert to fraction form
    17,975.76/24,807.24 = 10,421.96/x
  3. Step 3: Cross multiply
    17,975.76x = 24,807.24 × 10,421.96
  4. Step 4: Simplify right side
    17,975.76x = 258,540,062.99
  5. Step 5: Solve for x
    x = 258,540,062.99/17,975.76
  6. Step 6: Final answer
    x = 14,382.71

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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.