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Finding the Fourth Proportional to 17,704.86, 24,433.37 and 10,152.63

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Solution

The fourth proportional to 17,704.86, 24,433.37 and 10,152.63 is: 14,011.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,704.86 : 24,433.37 = 10,152.63 : x
  2. Step 2: Convert to fraction form
    17,704.86/24,433.37 = 10,152.63/x
  3. Step 3: Cross multiply
    17,704.86x = 24,433.37 × 10,152.63
  4. Step 4: Simplify right side
    17,704.86x = 248,062,914.50
  5. Step 5: Solve for x
    x = 248,062,914.50/17,704.86
  6. Step 6: Final answer
    x = 14,011.01

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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.