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Finding the Fourth Proportional to 16,333.25, 24,499.87 and 11,412.50

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Solution

The fourth proportional to 16,333.25, 24,499.87 and 11,412.50 is: 17,118.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,333.25 : 24,499.87 = 11,412.50 : x
  2. Step 2: Convert to fraction form
    16,333.25/24,499.87 = 11,412.50/x
  3. Step 3: Cross multiply
    16,333.25x = 24,499.87 × 11,412.50
  4. Step 4: Simplify right side
    16,333.25x = 279,604,615.34
  5. Step 5: Solve for x
    x = 279,604,615.34/16,333.25
  6. Step 6: Final answer
    x = 17,118.74

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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.