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Finding the Fourth Proportional to 16,450.14, 22,699.76 and 9,376.40

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Solution

The fourth proportional to 16,450.14, 22,699.76 and 9,376.40 is: 12,938.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,450.14 : 22,699.76 = 9,376.40 : x
  2. Step 2: Convert to fraction form
    16,450.14/22,699.76 = 9,376.40/x
  3. Step 3: Cross multiply
    16,450.14x = 22,699.76 × 9,376.40
  4. Step 4: Simplify right side
    16,450.14x = 212,842,029.66
  5. Step 5: Solve for x
    x = 212,842,029.66/16,450.14
  6. Step 6: Final answer
    x = 12,938.62

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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.