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Finding the Fourth Proportional to 16,893, 23,313.06 and 9,441

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Solution

The fourth proportional to 16,893, 23,313.06 and 9,441 is: 13,028.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,893 : 23,313.06 = 9,441 : x
  2. Step 2: Convert to fraction form
    16,893/23,313.06 = 9,441/x
  3. Step 3: Cross multiply
    16,893x = 23,313.06 × 9,441
  4. Step 4: Simplify right side
    16,893x = 220,098,599.46
  5. Step 5: Solve for x
    x = 220,098,599.46/16,893
  6. Step 6: Final answer
    x = 13,028.98

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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.