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Finding the Fourth Proportional to 16,357.50, 24,533.82 and 5,262.78

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Solution

The fourth proportional to 16,357.50, 24,533.82 and 5,262.78 is: 7,893.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,357.50 : 24,533.82 = 5,262.78 : x
  2. Step 2: Convert to fraction form
    16,357.50/24,533.82 = 5,262.78/x
  3. Step 3: Cross multiply
    16,357.50x = 24,533.82 × 5,262.78
  4. Step 4: Simplify right side
    16,357.50x = 129,116,097.22
  5. Step 5: Solve for x
    x = 129,116,097.22/16,357.50
  6. Step 6: Final answer
    x = 7,893.39

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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.