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Finding the Fourth Proportional to 16,597.98, 24,901.83 and 4,911.50

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Solution

The fourth proportional to 16,597.98, 24,901.83 and 4,911.50 is: 7,368.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,597.98 : 24,901.83 = 4,911.50 : x
  2. Step 2: Convert to fraction form
    16,597.98/24,901.83 = 4,911.50/x
  3. Step 3: Cross multiply
    16,597.98x = 24,901.83 × 4,911.50
  4. Step 4: Simplify right side
    16,597.98x = 122,305,400.30
  5. Step 5: Solve for x
    x = 122,305,400.30/16,597.98
  6. Step 6: Final answer
    x = 7,368.69

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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.