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Finding the Fourth Proportional to 16,333.52, 24,509.73 and 7,567.97

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Solution

The fourth proportional to 16,333.52, 24,509.73 and 7,567.97 is: 11,356.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,333.52 : 24,509.73 = 7,567.97 : x
  2. Step 2: Convert to fraction form
    16,333.52/24,509.73 = 7,567.97/x
  3. Step 3: Cross multiply
    16,333.52x = 24,509.73 × 7,567.97
  4. Step 4: Simplify right side
    16,333.52x = 185,488,901.35
  5. Step 5: Solve for x
    x = 185,488,901.35/16,333.52
  6. Step 6: Final answer
    x = 11,356.33

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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.