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Finding the Fourth Proportional to 17,701.32, 24,423.90 and 10,245

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Solution

The fourth proportional to 17,701.32, 24,423.90 and 10,245 is: 14,135.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,701.32 : 24,423.90 = 10,245 : x
  2. Step 2: Convert to fraction form
    17,701.32/24,423.90 = 10,245/x
  3. Step 3: Cross multiply
    17,701.32x = 24,423.90 × 10,245
  4. Step 4: Simplify right side
    17,701.32x = 250,222,855.50
  5. Step 5: Solve for x
    x = 250,222,855.50/17,701.32
  6. Step 6: Final answer
    x = 14,135.83

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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.