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Finding the Fourth Proportional to 14,553.97, 21,830.96 and 6,228.59

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Solution

The fourth proportional to 14,553.97, 21,830.96 and 6,228.59 is: 9,342.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,553.97 : 21,830.96 = 6,228.59 : x
  2. Step 2: Convert to fraction form
    14,553.97/21,830.96 = 6,228.59/x
  3. Step 3: Cross multiply
    14,553.97x = 21,830.96 × 6,228.59
  4. Step 4: Simplify right side
    14,553.97x = 135,976,158.00
  5. Step 5: Solve for x
    x = 135,976,158.00/14,553.97
  6. Step 6: Final answer
    x = 9,342.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.