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Finding the Fourth Proportional to 28,222.77, 42,304.53 and 9,496.31

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Solution

The fourth proportional to 28,222.77, 42,304.53 and 9,496.31 is: 14,234.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,222.77 : 42,304.53 = 9,496.31 : x
  2. Step 2: Convert to fraction form
    28,222.77/42,304.53 = 9,496.31/x
  3. Step 3: Cross multiply
    28,222.77x = 42,304.53 × 9,496.31
  4. Step 4: Simplify right side
    28,222.77x = 401,736,939.92
  5. Step 5: Solve for x
    x = 401,736,939.92/28,222.77
  6. Step 6: Final answer
    x = 14,234.50

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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.