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Finding the Fourth Proportional to 16,555.50, 24,816.85 and 7,774.70

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Solution

The fourth proportional to 16,555.50, 24,816.85 and 7,774.70 is: 11,654.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,555.50 : 24,816.85 = 7,774.70 : x
  2. Step 2: Convert to fraction form
    16,555.50/24,816.85 = 7,774.70/x
  3. Step 3: Cross multiply
    16,555.50x = 24,816.85 × 7,774.70
  4. Step 4: Simplify right side
    16,555.50x = 192,943,420.17
  5. Step 5: Solve for x
    x = 192,943,420.17/16,555.50
  6. Step 6: Final answer
    x = 11,654.34

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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.