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Finding the Fourth Proportional to 14,553.83, 21,823.83 and 6,654.00

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Solution

The fourth proportional to 14,553.83, 21,823.83 and 6,654.00 is: 9,977.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,553.83 : 21,823.83 = 6,654.00 : x
  2. Step 2: Convert to fraction form
    14,553.83/21,823.83 = 6,654.00/x
  3. Step 3: Cross multiply
    14,553.83x = 21,823.83 × 6,654.00
  4. Step 4: Simplify right side
    14,553.83x = 145,215,723.90
  5. Step 5: Solve for x
    x = 145,215,723.90/14,553.83
  6. Step 6: Final answer
    x = 9,977.84

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Why These Related Problems?

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