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Finding the Fourth Proportional to 16,999.56, 23,460 and 9,446.04

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Solution

The fourth proportional to 16,999.56, 23,460 and 9,446.04 is: 13,035.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,999.56 : 23,460 = 9,446.04 : x
  2. Step 2: Convert to fraction form
    16,999.56/23,460 = 9,446.04/x
  3. Step 3: Cross multiply
    16,999.56x = 23,460 × 9,446.04
  4. Step 4: Simplify right side
    16,999.56x = 221,604,098.40
  5. Step 5: Solve for x
    x = 221,604,098.40/16,999.56
  6. Step 6: Final answer
    x = 13,035.87

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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.