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Finding the Fourth Proportional to 16,222.50, 24,335.31 and 7,459.86

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Solution

The fourth proportional to 16,222.50, 24,335.31 and 7,459.86 is: 11,190.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,222.50 : 24,335.31 = 7,459.86 : x
  2. Step 2: Convert to fraction form
    16,222.50/24,335.31 = 7,459.86/x
  3. Step 3: Cross multiply
    16,222.50x = 24,335.31 × 7,459.86
  4. Step 4: Simplify right side
    16,222.50x = 181,538,005.66
  5. Step 5: Solve for x
    x = 181,538,005.66/16,222.50
  6. Step 6: Final answer
    x = 11,190.51

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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.