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Finding the Fourth Proportional to 16,753, 23,119.41 and 9,301

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Solution

The fourth proportional to 16,753, 23,119.41 and 9,301 is: 12,835.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,753 : 23,119.41 = 9,301 : x
  2. Step 2: Convert to fraction form
    16,753/23,119.41 = 9,301/x
  3. Step 3: Cross multiply
    16,753x = 23,119.41 × 9,301
  4. Step 4: Simplify right side
    16,753x = 215,033,632.41
  5. Step 5: Solve for x
    x = 215,033,632.41/16,753
  6. Step 6: Final answer
    x = 12,835.53

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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.