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Finding the Fourth Proportional to 16,754, 23,120.84 and 9,301.84

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Solution

The fourth proportional to 16,754, 23,120.84 and 9,301.84 is: 12,836.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,754 : 23,120.84 = 9,301.84 : x
  2. Step 2: Convert to fraction form
    16,754/23,120.84 = 9,301.84/x
  3. Step 3: Cross multiply
    16,754x = 23,120.84 × 9,301.84
  4. Step 4: Simplify right side
    16,754x = 215,066,354.35
  5. Step 5: Solve for x
    x = 215,066,354.35/16,754
  6. Step 6: Final answer
    x = 12,836.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.