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Finding the Fourth Proportional to 16,277.49, 22,460.09 and 9,991.89

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Solution

The fourth proportional to 16,277.49, 22,460.09 and 9,991.89 is: 13,787.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,277.49 : 22,460.09 = 9,991.89 : x
  2. Step 2: Convert to fraction form
    16,277.49/22,460.09 = 9,991.89/x
  3. Step 3: Cross multiply
    16,277.49x = 22,460.09 × 9,991.89
  4. Step 4: Simplify right side
    16,277.49x = 224,418,698.71
  5. Step 5: Solve for x
    x = 224,418,698.71/16,277.49
  6. Step 6: Final answer
    x = 13,787.06

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