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Finding the Fourth Proportional to 16,527.56, 24,768.86 and 9,121

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Solution

The fourth proportional to 16,527.56, 24,768.86 and 9,121 is: 13,669.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,527.56 : 24,768.86 = 9,121 : x
  2. Step 2: Convert to fraction form
    16,527.56/24,768.86 = 9,121/x
  3. Step 3: Cross multiply
    16,527.56x = 24,768.86 × 9,121
  4. Step 4: Simplify right side
    16,527.56x = 225,916,772.06
  5. Step 5: Solve for x
    x = 225,916,772.06/16,527.56
  6. Step 6: Final answer
    x = 13,669.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.